diff --git a/src/cmd/go/internal/work/exec.go b/src/cmd/go/internal/work/exec.go
index 157ac4cafc..6ce56dd6f4 100644
--- a/src/cmd/go/internal/work/exec.go
+++ b/src/cmd/go/internal/work/exec.go
@@ -766,7 +766,7 @@ OverlayLoop:
 	}
 	if err != nil {
 		if p.Module != nil && !allowedVersion(p.Module.GoVersion) {
-			b.showOutput(a, a.Package.Dir, a.Package.Desc(), "note: module requires Go "+p.Module.GoVersion)
+			b.showOutput(a, a.Package.Dir, a.Package.Desc(), "note: module requires Go "+p.Module.GoVersion+"\n")
 		}
 		return err
 	}
diff --git a/src/cmd/go/testdata/script/mod_go_version.txt b/src/cmd/go/testdata/script/mod_go_version.txt
index 37f173531b..97d9975e68 100644
--- a/src/cmd/go/testdata/script/mod_go_version.txt
+++ b/src/cmd/go/testdata/script/mod_go_version.txt
@@ -8,12 +8,19 @@ go build sub.1
 go build subver.1
 ! stderr 'module requires'
 ! go build badsub.1
-stderr 'module requires Go 1.11111'
+stderr '^note: module requires Go 1.11111$'
 
 go build versioned.1
 go mod edit -require versioned.1@v1.1.0
 ! go build versioned.1
-stderr 'module requires Go 1.99999'
+stderr '^note: module requires Go 1.99999$'
+
+[short] stop
+
+# The message should be printed even if the compiler emits no output.
+go build -o $WORK/nooutput.exe nooutput.go
+! go build -toolexec=$WORK/nooutput.exe versioned.1
+stderr '^# versioned.1\nnote: module requires Go 1.99999$'
 
 -- go.mod --
 module m
@@ -71,3 +78,33 @@ go 1.99999
 -- versioned2/x.go --
 package x
 invalid syntax
+
+-- nooutput.go --
+// +build ignore
+
+package main
+
+import (
+	"bytes"
+	"os"
+	"os/exec"
+	"strings"
+)
+
+func main() {
+	stderr := new(bytes.Buffer)
+	stdout := new(bytes.Buffer)
+
+	cmd := exec.Command(os.Args[1], os.Args[2:]...)
+	cmd.Stderr = stderr
+	cmd.Stdout = stdout
+
+	err := cmd.Run()
+	if strings.HasPrefix(os.Args[2], "-V") {
+		os.Stderr.Write(stderr.Bytes())
+		os.Stdout.Write(stdout.Bytes())
+	}
+	if err != nil {
+		os.Exit(1)
+	}
+}