diff --git a/src/Compiler/Checking/CheckExpressions.fs b/src/Compiler/Checking/CheckExpressions.fs
index 2f0306f95c5..3a25b96273b 100644
--- a/src/Compiler/Checking/CheckExpressions.fs
+++ b/src/Compiler/Checking/CheckExpressions.fs
@@ -10399,10 +10399,13 @@ and TcMatchPattern cenv inputTy env tpenv (synPat: SynPat) (synWhenExprOpt: SynE
 and TcMatchClauses cenv inputTy (resultTy: OverallTy) env tpenv clauses =
     let mutable first = true
     let isFirst() = if first then first <- false; true else false
-    List.mapFold (fun clause -> TcMatchClause cenv inputTy resultTy env (isFirst()) clause) tpenv clauses
+    let resultList,(tpEnv,_input) = 
+        List.mapFold (fun (unscopedTyParEnv,inputTy) -> TcMatchClause cenv inputTy resultTy env (isFirst()) unscopedTyParEnv) (tpenv,inputTy) clauses
+    resultList,tpEnv
 
 and TcMatchClause cenv inputTy (resultTy: OverallTy) env isFirst tpenv synMatchClause =
     let (SynMatchClause(synPat, synWhenExprOpt, synResultExpr, patm, spTgt, _)) = synMatchClause
+
     let pat, whenExprOpt, vspecs, envinner, tpenv = TcMatchPattern cenv inputTy env tpenv synPat synWhenExprOpt
 
     let resultEnv =
@@ -10417,8 +10420,35 @@ and TcMatchClause cenv inputTy (resultTy: OverallTy) env isFirst tpenv synMatchC
     let resultExpr, tpenv = TcExprThatCanBeCtorBody cenv resultTy resultEnv tpenv synResultExpr
 
     let target = TTarget(vspecs, resultExpr, None)
+
+    let inputTypeForNextPatterns= 
+        let removeNull t = replaceNullnessOfTy KnownWithoutNull t
+        let rec isWild (p:Pattern) = 
+            match p with
+            | TPat_wild _ -> true
+            | TPat_as (p,_,_) -> isWild p
+            | TPat_disjs(patterns,_) -> patterns |> List.exists isWild
+            | TPat_conjs(patterns,_) -> patterns |> List.forall isWild
+            | TPat_tuple (_,pats,_,_) -> pats |> List.forall isWild              
+            | _ -> false
+
+        let rec eliminateNull (ty:TType) (p:Pattern)  = 
+            match p with
+            | TPat_null _ -> removeNull ty
+            | TPat_as (p,_,_) -> eliminateNull ty p
+            | TPat_disjs(patterns,_) -> (ty,patterns) ||> List.fold eliminateNull
+            | TPat_tuple (_,pats,_,_) -> 
+                match stripTyparEqns ty with
+                // In a tuple of size N, if 1 elem is matched for null and N-1 are wild => subsequent clauses can strip nullness
+                | TType_tuple(ti,tys) when tys.Length = pats.Length && (pats |> List.count (isWild >> not)) = 1 ->
+                    TType_tuple(ti, List.map2 eliminateNull tys pats)
+                | _ -> ty
+            | _ -> ty
+        match whenExprOpt with
+        | None -> eliminateNull inputTy pat
+        | _ -> inputTy
     
-    MatchClause(pat, whenExprOpt, target, patm), tpenv
+    MatchClause(pat, whenExprOpt, target, patm), (tpenv,inputTypeForNextPatterns)
 
 and TcStaticOptimizationConstraint cenv env tpenv c =
     let g = cenv.g
diff --git a/tests/FSharp.Compiler.ComponentTests/Language/NullableReferenceTypesTests.fs b/tests/FSharp.Compiler.ComponentTests/Language/NullableReferenceTypesTests.fs
index ff50d481185..9bcebf546c8 100644
--- a/tests/FSharp.Compiler.ComponentTests/Language/NullableReferenceTypesTests.fs
+++ b/tests/FSharp.Compiler.ComponentTests/Language/NullableReferenceTypesTests.fs
@@ -9,7 +9,7 @@ let typeCheckWithStrictNullness cu =
     |> withCheckNulls
     |> withWarnOn 3261
     |> withOptions ["--warnaserror+"]
-    |> typecheck
+    |> compile
 
 [<Fact>]
 let ``Printing a nullable string should pass`` () = 
@@ -71,4 +71,60 @@ let doStuff() =
 """
     |> asLibrary
     |> typeCheckWithStrictNullness
-    |> shouldSucceed
\ No newline at end of file
+    |> shouldSucceed
+
+
+[<InlineData("null")>]
+[<InlineData(""" null | "" """)>]
+[<InlineData(""" "" | null """)>]
+[<InlineData(""" "" | " " | null """)>]
+[<InlineData("(null)")>]
+[<InlineData("(null) as _myUselessNullValue")>]
+[<Theory>]
+let ``Eliminate nullness after matching`` (tp) = 
+    FSharp $"""module MyLibrary
+
+let myFunction (input : string | null) : string = 
+    match input with
+    | {tp} -> ""
+    | nonNullString -> nonNullString
+"""
+    |> asLibrary
+    |> typeCheckWithStrictNullness
+    |> shouldSucceed
+
+[<InlineData("""(null,_aVal) | (_aVal, null) """)>]
+[<InlineData("""(null,("" | null | _)) | (_, null)""")>]
+[<Theory>]
+let ``Eliminate tupled nullness after matching`` (tp) = 
+    FSharp $"""module MyLibrary
+
+let myFunction (input1 : string | null) (input2 : string | null): (string*string) = 
+    match input1,input2 with
+    | {tp} -> "",""
+    | nns1,nns2 -> nns1,nns2
+"""
+    |> asLibrary
+    |> typeCheckWithStrictNullness
+    |> shouldSucceed
+
+
+[<InlineData("""(null,"a") | ("b",null) """)>]
+[<InlineData("(null,null)")>]
+[<InlineData(""" null, a """)>]
+[<InlineData(""" "a", "b" """)>]
+[<InlineData(""" (_a,_b) when System.Console.ReadLine() = "lucky"  """)>]
+[<InlineData("(_,null)")>]
+[<Theory>]
+let ``Should NOT eliminate tupled nullness after matching`` (tp) = 
+    FSharp $"""module MyLibrary
+
+let myFunction (input1 : string | null) (input2 : string | null): (string*string) = 
+    match input1,input2 with
+    | %s{tp} ->  "",""
+    | nns1,nns2 -> nns1,nns2
+"""
+    |> asLibrary
+    |> typeCheckWithStrictNullness
+    |> shouldFail
+    |> withErrorCode 3261
\ No newline at end of file