diff --git a/CHANGELOG.md b/CHANGELOG.md
index e91c45b..3425271 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,3 +1,9 @@
+## Megaparsec 6.2.0
+
+* `float` in `Text.Megaparsec.Char.Lexer` and `Text.Megaparsec.Byte.Lexer`
+  now does not accept plain integers. This is the behavior we had in version
+  5 of the library.
+
 ## Megaparsec 6.1.1
 
 * Fixed the bug when `tokens` used `cok` continuation even when matching an
diff --git a/Text/Megaparsec/Byte/Lexer.hs b/Text/Megaparsec/Byte/Lexer.hs
index 9075bc1..e1fa439 100644
--- a/Text/Megaparsec/Byte/Lexer.hs
+++ b/Text/Megaparsec/Byte/Lexer.hs
@@ -179,39 +179,53 @@ scientific
   :: forall e s m. (MonadParsec e s m, Token s ~ Word8)
   => m Scientific
 scientific = do
-  let pxy = Proxy :: Proxy s
-  c' <- decimal_
-  SP c e' <- option (SP c' 0) $ do
-    void (char 46)
-    let mkNum    = foldl' step (SP c' 0) . chunkToTokens pxy
-        step (SP a e') w = SP
-          (a * 10 + fromIntegral (w - 48))
-          (e' - 1)
-    mkNum <$> takeWhile1P (Just "digit") isDigit
-  e <- option e' $ do
-    void (char' 101)
-    (+ e') <$> signed (return ()) decimal_
+  c'      <- decimal_
+  SP c e' <- option (SP c' 0) (dotDecimal_ (Proxy :: Proxy s) c')
+  e       <- option e' (exponent_ e')
   return (Sci.scientific c e)
 {-# INLINEABLE scientific #-}
 
 data SP = SP !Integer {-# UNPACK #-} !Int
 
--- | Parse a floating point number without sign. There are differences
--- between the syntax for floating point literals described in the Haskell
--- report and what this function accepts. In particular, it does not require
--- fractional part and accepts inputs like @\"3\"@ returning @3.0@.
---
--- This is a simple short-cut defined as:
---
--- > float = Sci.toRealFloat <$> scientific <?> "floating point number"
+-- | Parse a floating point number according to the syntax for floating
+-- point literals described in the Haskell report.
 --
 -- This function does not parse sign, if you need to parse signed numbers,
 -- see 'signed'.
+--
+-- __Note__: in versions 6.0.0–6.1.1 this function accepted plain integers.
 
 float :: (MonadParsec e s m, Token s ~ Word8, RealFloat a) => m a
-float = Sci.toRealFloat <$> scientific <?> "floating point number"
+float = do
+  c' <- decimal_
+  Sci.toRealFloat <$>
+    ((do SP c e' <- dotDecimal_ (Proxy :: Proxy s) c'
+         e       <- option e' (exponent_ e')
+         return (Sci.scientific c e))
+     <|> (Sci.scientific c' <$> exponent_ 0))
 {-# INLINEABLE float #-}
 
+dotDecimal_ :: (MonadParsec e s m, Token s ~ Word8)
+  => Proxy s
+  -> Integer
+  -> m SP
+dotDecimal_ pxy c' = do
+  void (char 46)
+  let mkNum    = foldl' step (SP c' 0) . chunkToTokens pxy
+      step (SP a e') w = SP
+        (a * 10 + fromIntegral (w - 48))
+        (e' - 1)
+  mkNum <$> takeWhile1P (Just "digit") isDigit
+{-# INLINE dotDecimal_ #-}
+
+exponent_ :: (MonadParsec e s m, Token s ~ Word8)
+  => Int
+  -> m Int
+exponent_ e' = do
+  void (char' 101)
+  (+ e') <$> signed (return ()) decimal_
+{-# INLINE exponent_ #-}
+
 -- | @'signed' space p@ parser parses an optional sign character (“+” or
 -- “-”), then if there is a sign it consumes optional white space (using
 -- @space@ parser), then it runs parser @p@ which should return a number.
diff --git a/Text/Megaparsec/Char/Lexer.hs b/Text/Megaparsec/Char/Lexer.hs
index 5e21e81..47ecbb8 100644
--- a/Text/Megaparsec/Char/Lexer.hs
+++ b/Text/Megaparsec/Char/Lexer.hs
@@ -495,42 +495,56 @@ scientific
   :: forall e s m. (MonadParsec e s m, Token s ~ Char)
   => m Scientific
 scientific = do
-  let pxy = Proxy :: Proxy s
-  c' <- decimal_
-  SP c e' <- option (SP c' 0) $ do
-    void (C.char '.')
-    let mkNum    = foldl' step (SP c' 0) . chunkToTokens pxy
-        step (SP a e') c = SP
-          (a * 10 + fromIntegral (Char.digitToInt c))
-          (e' - 1)
-    mkNum <$> takeWhile1P (Just "digit") Char.isDigit
-  e <- option e' $ do
-    void (C.char' 'e')
-    (+ e') <$> signed (return ()) decimal_
+  c'      <- decimal_
+  SP c e' <- option (SP c' 0) (dotDecimal_ (Proxy :: Proxy s) c')
+  e       <- option e' (exponent_ e')
   return (Sci.scientific c e)
 {-# INLINEABLE scientific #-}
 
 data SP = SP !Integer {-# UNPACK #-} !Int
 
--- | Parse a floating point number without sign. There are differences
--- between the syntax for floating point literals described in the Haskell
--- report and what this function accepts. In particular, it does not require
--- fractional part and accepts inputs like @\"3\"@ returning @3.0@.
---
--- This is a simple short-cut defined as:
---
--- > float = Sci.toRealFloat <$> scientific <?> "floating point number"
+-- | Parse a floating point number according to the syntax for floating
+-- point literals described in the Haskell report.
 --
 -- This function does not parse sign, if you need to parse signed numbers,
 -- see 'signed'.
 --
 -- __Note__: before version 6.0.0 the function returned 'Double', i.e. it
 -- wasn't polymorphic in its return type.
+--
+-- __Note__: in versions 6.0.0–6.1.1 this function accepted plain integers.
 
 float :: (MonadParsec e s m, Token s ~ Char, RealFloat a) => m a
-float = Sci.toRealFloat <$> scientific <?> "floating point number"
+float = do
+  c' <- decimal_
+  Sci.toRealFloat <$>
+    ((do SP c e' <- dotDecimal_ (Proxy :: Proxy s) c'
+         e       <- option e' (exponent_ e')
+         return (Sci.scientific c e))
+     <|> (Sci.scientific c' <$> exponent_ 0))
 {-# INLINEABLE float #-}
 
+dotDecimal_ :: (MonadParsec e s m, Token s ~ Char)
+  => Proxy s
+  -> Integer
+  -> m SP
+dotDecimal_ pxy c' = do
+  void (C.char '.')
+  let mkNum    = foldl' step (SP c' 0) . chunkToTokens pxy
+      step (SP a e') c = SP
+        (a * 10 + fromIntegral (Char.digitToInt c))
+        (e' - 1)
+  mkNum <$> takeWhile1P (Just "digit") Char.isDigit
+{-# INLINE dotDecimal_ #-}
+
+exponent_ :: (MonadParsec e s m, Token s ~ Char)
+  => Int
+  -> m Int
+exponent_ e' = do
+  void (C.char' 'e')
+  (+ e') <$> signed (return ()) decimal_
+{-# INLINE exponent_ #-}
+
 -- | @'signed' space p@ parser parses an optional sign character (“+” or
 -- “-”), then if there is a sign it consumes optional white space (using
 -- @space@ parser), then it runs parser @p@ which should return a number.
diff --git a/tests/Text/Megaparsec/Byte/LexerSpec.hs b/tests/Text/Megaparsec/Byte/LexerSpec.hs
index ffa091c..e8139c8 100644
--- a/tests/Text/Megaparsec/Byte/LexerSpec.hs
+++ b/tests/Text/Megaparsec/Byte/LexerSpec.hs
@@ -138,26 +138,30 @@ spec = do
           let p = float :: Parser Double
               s = B.pack (a : as)
           prs  p s `shouldFailWith`
-            err posI (utok a <> elabel "floating point number")
+            err posI (utok a <> elabel "digit")
           prs' p s `failsLeaving` s
-    context "when stream begins with a decimal number" $
-      it "parses it" $
+    context "when stream begins with an integer (decimal)" $
+      it "signals correct parse error" $
         property $ \n' -> do
           let p = float :: Parser Double
               n = getNonNegative n'
               s = B8.pack $ show (n :: Integer)
-          prs  p s `shouldParse` fromIntegral n
-          prs' p s `succeedsLeaving` ""
+          prs  p s `shouldFailWith` err (posN (B.length s) s)
+            (ueof <> etok 46 <> etok 69 <> etok 101 <> elabel "digit")
+          prs' p s `failsLeaving` ""
     context "when stream is empty" $
       it "signals correct parse error" $
         prs (float :: Parser Double) "" `shouldFailWith`
-          err posI (ueof <> elabel "floating point number")
-    context "when there is float with exponent without explicit sign" $
+          err posI (ueof <> elabel "digit")
+    context "when there is float with just exponent" $
       it "parses it all right" $ do
         let p = float :: Parser Double
-            s = "123e3"
-        prs  p s `shouldParse` 123e3
-        prs' p s `succeedsLeaving` ""
+        prs  p "123e3" `shouldParse` 123e3
+        prs' p "123e3" `succeedsLeaving` ""
+        prs  p "123e+3" `shouldParse` 123e+3
+        prs' p "123e+3" `succeedsLeaving` ""
+        prs  p "123e-3" `shouldParse` 123e-3
+        prs' p "123e-3" `succeedsLeaving` ""
 
   describe "scientific" $ do
     context "when stream begins with a number" $
diff --git a/tests/Text/Megaparsec/Char/LexerSpec.hs b/tests/Text/Megaparsec/Char/LexerSpec.hs
index 4fca636..3213fbc 100644
--- a/tests/Text/Megaparsec/Char/LexerSpec.hs
+++ b/tests/Text/Megaparsec/Char/LexerSpec.hs
@@ -336,26 +336,30 @@ spec = do
           let p = float :: Parser Double
               s = a : as
           prs  p s `shouldFailWith`
-            err posI (utok a <> elabel "floating point number")
+            err posI (utok a <> elabel "digit")
           prs' p s `failsLeaving` s
-    context "when stream begins with a decimal number" $
-      it "parses it" $
+    context "when stream begins with an integer (decimal)" $
+      it "signals correct parse error" $
         property $ \n' -> do
           let p = float :: Parser Double
               n = getNonNegative n'
               s = show (n :: Integer)
-          prs  p s `shouldParse` fromIntegral n
-          prs' p s `succeedsLeaving` ""
+          prs  p s `shouldFailWith` err (posN (length s) s)
+            (ueof <> etok '.' <> etok 'E' <> etok 'e' <> elabel "digit")
+          prs' p s `failsLeaving` ""
     context "when stream is empty" $
       it "signals correct parse error" $
         prs (float :: Parser Double) "" `shouldFailWith`
-          err posI (ueof <> elabel "floating point number")
-    context "when there is float with exponent without explicit sign" $
+          err posI (ueof <> elabel "digit")
+    context "when there is float with just exponent" $
       it "parses it all right" $ do
         let p = float :: Parser Double
-            s = "123e3"
-        prs  p s `shouldParse` 123e3
-        prs' p s `succeedsLeaving` ""
+        prs  p "123e3" `shouldParse` 123e3
+        prs' p "123e3" `succeedsLeaving` ""
+        prs  p "123e+3" `shouldParse` 123e+3
+        prs' p "123e+3" `succeedsLeaving` ""
+        prs  p "123e-3" `shouldParse` 123e-3
+        prs' p "123e-3" `succeedsLeaving` ""
 
   describe "scientific" $ do
     context "when stream begins with a number" $