diff --git a/llvm/lib/Analysis/ValueTracking.cpp b/llvm/lib/Analysis/ValueTracking.cpp
--- a/llvm/lib/Analysis/ValueTracking.cpp
+++ b/llvm/lib/Analysis/ValueTracking.cpp
@@ -2681,6 +2681,16 @@
     computeKnownBits(I->getOperand(0), DemandedElts, Known, Depth, Q);
     if (Known.One[0])
       return true;
+
+    if (!Known.isUnknown()) {
+      KnownBits KnownCnt =
+          computeKnownBits(I->getOperand(1), DemandedElts, Depth, Q);
+
+      if (KnownCnt.getMaxValue().ult(Known.getBitWidth()) &&
+          !Known.One.shl(KnownCnt.getMaxValue()).isZero())
+        return true;
+    }
+
     break;
   }
   case Instruction::LShr:
diff --git a/llvm/test/Analysis/ValueTracking/known-non-zero.ll b/llvm/test/Analysis/ValueTracking/known-non-zero.ll
--- a/llvm/test/Analysis/ValueTracking/known-non-zero.ll
+++ b/llvm/test/Analysis/ValueTracking/known-non-zero.ll
@@ -170,11 +170,7 @@
 
 define <2 x i1> @shl_nz_bounded_cnt_vec(<2 x i32> %x, <2 x i32> %y) {
 ; CHECK-LABEL: @shl_nz_bounded_cnt_vec(
-; CHECK-NEXT:    [[CNT:%.*]] = and <2 x i32> [[X:%.*]], <i32 16, i32 24>
-; CHECK-NEXT:    [[VAL:%.*]] = or <2 x i32> [[Y:%.*]], <i32 131088, i32 16>
-; CHECK-NEXT:    [[SHL:%.*]] = shl <2 x i32> [[VAL]], [[CNT]]
-; CHECK-NEXT:    [[R:%.*]] = icmp eq <2 x i32> [[SHL]], zeroinitializer
-; CHECK-NEXT:    ret <2 x i1> [[R]]
+; CHECK-NEXT:    ret <2 x i1> zeroinitializer
 ;
   %cnt = and <2 x i32> %x, <i32 16, i32 24>
   %val = or <2 x i32> %y, <i32 131088, i32 16>
@@ -187,10 +183,7 @@
 ; CHECK-LABEL: @shl_nz_bounded_cnt(
 ; CHECK-NEXT:    [[CNT_ULT4:%.*]] = icmp ult i32 [[CNT:%.*]], 4
 ; CHECK-NEXT:    call void @llvm.assume(i1 [[CNT_ULT4]])
-; CHECK-NEXT:    [[VAL:%.*]] = or i32 [[Y:%.*]], 131072
-; CHECK-NEXT:    [[SHL:%.*]] = shl i32 [[VAL]], [[CNT]]
-; CHECK-NEXT:    [[R:%.*]] = icmp eq i32 [[SHL]], 0
-; CHECK-NEXT:    ret i1 [[R]]
+; CHECK-NEXT:    ret i1 false
 ;
   %cnt_ult4 = icmp ult i32 %cnt, 4
   call void @llvm.assume(i1 %cnt_ult4)