diff --git a/main.go b/main.go
index 5c4e770..c5c3fb4 100644
--- a/main.go
+++ b/main.go
@@ -787,28 +787,34 @@ func replaceAsmNames(buf *bytes.Buffer, remaining []byte) {
 			i += size
 		}
 		asmPkgPath := string(remaining[pkgStart:pkgEnd])
-		goPkgPath := asmPkgPath
-		goPkgPath = strings.ReplaceAll(goPkgPath, string(asmPeriod), string(goPeriod))
-		goPkgPath = strings.ReplaceAll(goPkgPath, string(asmSlash), string(goSlash))
 
 		// Write the bytes before our unqualified `·foo` or qualified `pkg·foo`.
 		buf.Write(remaining[:pkgStart])
 
 		// If the name was qualified, fetch the package, and write the
 		// obfuscated import path if needed.
+		// Note that we don't obfuscate the package path "main".
+		//
 		// Note that runtime/internal/startlinetest refers to runtime_test in
 		// one of its assembly files, and we currently do not always collect
 		// test packages in appendListedPackages for the sake of performance.
 		// We don't care about testing the runtime just yet, so work around it.
+		// TODO(mvdan): this runtime_test reference was removed in Go 1.20 per
+		// https://github.com/golang/go/issues/57334; remove at a later time.
 		lpkg := curPkg
-		if asmPkgPath != "" && asmPkgPath != "runtime_test" {
-			var err error
-			lpkg, err = listPackage(goPkgPath)
-			if err != nil {
-				panic(err) // shouldn't happen
+		if asmPkgPath != "" && asmPkgPath != "main" && asmPkgPath != "runtime_test" {
+			if asmPkgPath != curPkg.Name {
+				goPkgPath := asmPkgPath
+				goPkgPath = strings.ReplaceAll(goPkgPath, string(asmPeriod), string(goPeriod))
+				goPkgPath = strings.ReplaceAll(goPkgPath, string(asmSlash), string(goSlash))
+				var err error
+				lpkg, err = listPackage(goPkgPath)
+				if err != nil {
+					panic(err) // shouldn't happen
+				}
 			}
 			if lpkg.ToObfuscate {
-				// Note that we don't need to worry about asmPkgSlash here,
+				// Note that we don't need to worry about asmSlash here,
 				// because our obfuscated import paths contain no slashes right now.
 				buf.WriteString(lpkg.obfuscatedImportPath())
 			} else {
diff --git a/testdata/script/asm.txtar b/testdata/script/asm.txtar
index 23b321c..fd0bd7e 100644
--- a/testdata/script/asm.txtar
+++ b/testdata/script/asm.txtar
@@ -6,7 +6,7 @@
 garble build
 exec ./main
 cmp stderr main.stderr
-! binsubstr main$exe 'test/main' 'privateAdd' 'PublicAdd' 'garble_'
+! binsubstr main$exe 'test/main' 'addJmp' 'AddImpl' 'garble_'
 
 # We used to panic on broken packages with assembly.
 ! garble build ./broken/...
@@ -24,12 +24,12 @@ stdin empty-reverse.txt
 garble -tiny build
 exec ./main
 cmp stderr main.stderr
-! binsubstr main$exe 'privateAdd' 'PublicAdd'
+! binsubstr main$exe 'addJmp' 'AddImpl'
 
 go build
 exec ./main
 cmp stderr main.stderr
-binsubstr main$exe 'privateAdd' 'PublicAdd'
+binsubstr main$exe 'addJmp' 'AddImpl'
 -- go.mod --
 module test/with.many.dots/main
 
@@ -41,7 +41,8 @@ import (
 	"test/with.many.dots/main/imported"
 )
 
-func privateAdd(x, y int32) int32
+func addJmpPkgPath(x, y int32) int32
+func addJmpPkgName(x, y int32) int32
 
 // goData is used from both assembly and header files.
 var goData = [4]uint64{1, 2, 3, 4}
@@ -50,7 +51,8 @@ func modifyGoData()
 func modifyGoData2()
 
 func main() {
-	println(privateAdd(1, 2))
+	println(addJmpPkgPath(1, 2))
+	println(addJmpPkgName(1, 2))
 
 	println(goData[0], goData[1])
 	modifyGoData()
@@ -58,7 +60,7 @@ func main() {
 	modifyGoData2()
 	println(goData[0], goData[1])
 
-	println(imported.PublicAdd(3, 4))
+	println(imported.AddImpl(3, 4))
 }
 -- garble_main_amd64.s --
 #include "garble_define_amd64.h"
@@ -69,8 +71,13 @@ func main() {
 // Or the same with leading whitespace:
 	// A comment may include many·special∕asm·runes and it's okay.
 
-TEXT ·privateAdd(SB),$0-16
-	JMP test∕with·many·dots∕main∕imported·PublicAdd(SB)
+// Reference an imported package by its package path.
+TEXT ·addJmpPkgPath(SB),$0-16
+	JMP test∕with·many·dots∕main∕imported·AddImpl(SB)
+
+// Reference the current package by its package name.
+TEXT ·addJmpPkgName(SB),$0-16
+	JMP main·addJmpPkgPath(SB)
 
 TEXT ·modifyGoData(SB),$0-16
 	addGoDataTo($12)
@@ -93,22 +100,34 @@ TEXT ·modifyGoData2(SB),$0-16
 -- imported/imported.go --
 package imported
 
-func PublicAdd(x, y int32) int32
+func AddImpl(x, y int32) int32
+
+// Reference the current package by its package path.
+func addJmpPkgPath(x, y int32) int32
+
+// Reference the current package by its package path.
+func addJmpPkgName(x, y int32) int32
 
 -- imported/imported_amd64.s --
-TEXT ·PublicAdd(SB),$0-16
+TEXT ·AddImpl(SB),$0-16
 	MOVL x+0(FP), BX
 	MOVL y+4(FP), BP
 	ADDL BP, BX
 	MOVL BX, ret+8(FP)
 	RET
+
+TEXT ·addJmpPkgPath(SB),$0-16
+	JMP test∕with·many·dots∕main∕imported·AddImpl(SB)
+
+TEXT ·addJmpPkgName(SB),$0-16
+	JMP imported·AddImpl(SB)
 -- broken/syntax/broken.go --
 package broken
 
-func PublicAdd
+func AddImpl
 
 -- broken/asm/imported_amd64.s --
-TEXT ·PublicAdd(SB),$0-16
+TEXT ·AddImpl(SB),$0-16
 	MOVL x+0(FP), BX
 	MOVL y+4(FP), BP
 	ADDL BP, BX
@@ -117,10 +136,10 @@ TEXT ·PublicAdd(SB),$0-16
 -- broken/asm/broken.go --
 package broken
 
-func PublicAdd(x, y int32) MissingType
+func AddImpl(x, y int32) MissingType
 
 -- broken/imported_amd64.s --
-TEXT ·PublicAdd(SB),$0-16
+TEXT ·AddImpl(SB),$0-16
 	MOVL x+0(FP), BX
 	MOVL y+4(FP), BP
 	ADDL BP, BX
@@ -128,6 +147,7 @@ TEXT ·PublicAdd(SB),$0-16
 	RET
 -- main.stderr --
 3
+3
 1 2
 13 36
 25 70