diff --git a/library/init/lean/parser/level.lean b/library/init/lean/parser/level.lean
index 1b6c7fb287..b7a888a114 100644
--- a/library/init/lean/parser/level.lean
+++ b/library/init/lean/parser/level.lean
@@ -15,8 +15,11 @@ constant builtinLevelParsingTable : IO.Ref ParsingTables := default _
 @[init] def regBuiltinLevelParserAttr : IO Unit :=
 registerBuiltinParserAttribute `builtinLevelParser `Lean.Parser.builtinLevelParsingTable
 
-def levelParser {k : ParserKind} (rbp : Nat := 0) : Parser k :=
-{ fn := fun _ => runBuiltinParser "universe level" builtinLevelParsingTable rbp }
+def levelParserFn {k : ParserKind} (rbp : Nat) : ParserFn k :=
+fun _ => runBuiltinParser "universe level" builtinLevelParsingTable rbp
+
+@[inline] def levelParser {k : ParserKind} (rbp : Nat := 0) : Parser k :=
+{ fn := levelParserFn rbp }
 
 namespace Level
 
diff --git a/library/init/lean/parser/term.lean b/library/init/lean/parser/term.lean
index ca7faf17c2..effb473551 100644
--- a/library/init/lean/parser/term.lean
+++ b/library/init/lean/parser/term.lean
@@ -16,9 +16,11 @@ constant builtinTermParsingTable : IO.Ref ParsingTables := default _
 @[init] def regBuiltinTermParserAttr : IO Unit :=
 registerBuiltinParserAttribute `builtinTermParser `Lean.Parser.builtinTermParsingTable
 
-def termParser {k : ParserKind} (rbp : Nat := 0) : Parser k :=
-{ fn := fun _ => runBuiltinParser "term" builtinTermParsingTable rbp }
+def termParserFn {k : ParserKind} (rbp : Nat) : ParserFn k :=
+fun _ => runBuiltinParser "term" builtinTermParsingTable rbp
 
+@[inline] def termParser {k : ParserKind} (rbp : Nat := 0) : Parser k :=
+{ fn := termParserFn rbp }
 
 namespace Term
 /- Helper functions for defining simple parsers -/