diff --git a/src/cmd/go/internal/modcmd/tidy.go b/src/cmd/go/internal/modcmd/tidy.go
index e7e63e6533..34ff86ff18 100644
--- a/src/cmd/go/internal/modcmd/tidy.go
+++ b/src/cmd/go/internal/modcmd/tidy.go
@@ -67,6 +67,7 @@ func runTidy(ctx context.Context, cmd *base.Command, args []string) {
 		ResolveMissingImports:    true,
 		LoadTests:                true,
 		AllowErrors:              tidyE,
+		SilenceMissingStdImports: true,
 	}, "all")
 
 	modload.TidyBuildList()
diff --git a/src/cmd/go/internal/modcmd/vendor.go b/src/cmd/go/internal/modcmd/vendor.go
index 2cd683b75c..6ebc18dcd8 100644
--- a/src/cmd/go/internal/modcmd/vendor.go
+++ b/src/cmd/go/internal/modcmd/vendor.go
@@ -69,6 +69,7 @@ func runVendor(ctx context.Context, cmd *base.Command, args []string) {
 		ResolveMissingImports:    true,
 		UseVendorAll:             true,
 		AllowErrors:              vendorE,
+		SilenceMissingStdImports: true,
 	}
 	_, pkgs := modload.LoadPackages(ctx, loadOpts, "all")
 
diff --git a/src/cmd/go/internal/modload/load.go b/src/cmd/go/internal/modload/load.go
index 0dba49e40e..2e62a7659f 100644
--- a/src/cmd/go/internal/modload/load.go
+++ b/src/cmd/go/internal/modload/load.go
@@ -175,6 +175,12 @@ type PackageOpts struct {
 	// that occur while loading packages. SilenceErrors implies AllowErrors.
 	SilenceErrors bool
 
+	// SilenceMissingStdImports indicates that LoadPackages should not print
+	// errors or terminate the process if an imported package is missing, and the
+	// import path looks like it might be in the standard library (perhaps in a
+	// future version).
+	SilenceMissingStdImports bool
+
 	// SilenceUnmatchedWarnings suppresses the warnings normally emitted for
 	// patterns that did not match any packages.
 	SilenceUnmatchedWarnings bool
@@ -292,8 +298,13 @@ func LoadPackages(ctx context.Context, opts PackageOpts, patterns ...string) (ma
 					sumErr.importerIsTest = importer.testOf != nil
 				}
 			}
+			silence := opts.SilenceErrors
+			if stdErr := (*ImportMissingError)(nil); errors.As(pkg.err, &stdErr) &&
+				stdErr.isStd && opts.SilenceMissingStdImports {
+				silence = true
+			}
 
-			if !opts.SilenceErrors {
+			if !silence {
 				if opts.AllowErrors {
 					fmt.Fprintf(os.Stderr, "%s: %v\n", pkg.stackText(), pkg.err)
 				} else {
diff --git a/src/cmd/go/testdata/script/mod_tidy_error.txt b/src/cmd/go/testdata/script/mod_tidy_error.txt
index b6c24ceaf7..395537b1a7 100644
--- a/src/cmd/go/testdata/script/mod_tidy_error.txt
+++ b/src/cmd/go/testdata/script/mod_tidy_error.txt
@@ -4,12 +4,12 @@ env GO111MODULE=on
 # 'go mod tidy' and 'go mod vendor' should not hide loading errors.
 
 ! go mod tidy
-stderr '^issue27063 imports\n\tnonexist: package nonexist is not in GOROOT \(.*\)'
+! stderr 'package nonexist is not in GOROOT'
 stderr '^issue27063 imports\n\tnonexist.example.com: cannot find module providing package nonexist.example.com'
 stderr '^issue27063 imports\n\tissue27063/other imports\n\tother.example.com/nonexist: cannot find module providing package other.example.com/nonexist'
 
 ! go mod vendor
-stderr '^issue27063 imports\n\tnonexist: package nonexist is not in GOROOT \(.*\)'
+! stderr 'package nonexist is not in GOROOT'
 stderr '^issue27063 imports\n\tnonexist.example.com: cannot find module providing package nonexist.example.com'
 stderr '^issue27063 imports\n\tissue27063/other imports\n\tother.example.com/nonexist: cannot find module providing package other.example.com/nonexist'