diff --git a/google/resource_compute_disk.go b/google/resource_compute_disk.go
index 8e2afdea276..78c4975b506 100644
--- a/google/resource_compute_disk.go
+++ b/google/resource_compute_disk.go
@@ -426,18 +426,17 @@ func diskImageDiffSuppress(_, old, new string, _ *schema.ResourceData) bool {
 		newProject := matches[1]
 		newFamilyName := matches[2]
 
-		return diskImageProjectNameEquals(oldProject, oldName, newProject, newFamilyName)
+		return diskImageProjectNameEquals(oldProject, newProject) && strings.Contains(oldName, newFamilyName)
 	}
 
 	// Partial or full self link image
 	if resolveImageProjectImage.MatchString(new) {
 		// Value matches pattern "projects/{project}/global/images/{image-name}$"
-		// or "projects/{project}/global/images/{image-name-latest}$"
 		matches := resolveImageProjectImage.FindStringSubmatch(new)
 		newProject := matches[1]
 		newImageName := matches[2]
 
-		return diskImageProjectNameEquals(oldProject, oldName, newProject, newImageName)
+		return diskImageProjectNameEquals(oldProject, newProject) && strings.Contains(oldName, newImageName)
 	}
 
 	// Partial link without project family
@@ -451,7 +450,7 @@ func diskImageDiffSuppress(_, old, new string, _ *schema.ResourceData) bool {
 
 	// Partial link without project image
 	if resolveImageGlobalImage.MatchString(new) {
-		// Value is "global/images/family/{image-name}" or "global/images/family/{image-name-latest}"
+		// Value is "global/images/{image-name}"
 		matches := resolveImageGlobalImage.FindStringSubmatch(new)
 		imageName := matches[1]
 
@@ -467,26 +466,26 @@ func diskImageDiffSuppress(_, old, new string, _ *schema.ResourceData) bool {
 		return strings.Contains(oldName, familyName)
 	}
 
-	// Shorthand for image
+	// Shorthand for image or family
 	if resolveImageProjectImageShorthand.MatchString(new) {
-		// Value is "{project}/{image-name}" or "{project}/{image-name-latest}"
+		// Value is "{project}/{image-name}" or "{project}/{family-name}"
 		matches := resolveImageProjectImageShorthand.FindStringSubmatch(new)
 		newProject := matches[1]
 		newName := matches[2]
 
-		return diskImageProjectNameEquals(oldProject, oldName, newProject, newName)
+		return diskImageProjectNameEquals(oldProject, newProject) && strings.Contains(oldName, newName)
 	}
 
 	// Image or family only
 	if strings.Contains(oldName, new) {
-		// Value is "{image-name}" or "{family-name}" or "{image-name-latest}"
+		// Value is "{image-name}" or "{family-name}"
 		return true
 	}
 
 	return false
 }
 
-func diskImageProjectNameEquals(project1, name1, project2, name2 string) bool {
+func diskImageProjectNameEquals(project1, project2 string) bool {
 	// Convert short project name to full name
 	// For instance, centos => centos-cloud
 	fullProjectName, ok := imageMap[project2]
@@ -494,5 +493,5 @@ func diskImageProjectNameEquals(project1, name1, project2, name2 string) bool {
 		project2 = fullProjectName
 	}
 
-	return project1 == project2 && strings.Contains(name1, name2)
+	return project1 == project2
 }
diff --git a/google/resource_compute_disk_test.go b/google/resource_compute_disk_test.go
index f6afb5c9c8d..a9022e2326c 100644
--- a/google/resource_compute_disk_test.go
+++ b/google/resource_compute_disk_test.go
@@ -75,27 +75,6 @@ func TestDiskImageDiffSuppress(t *testing.T) {
 			New:                "debian-cloud/debian-7-jessie-v20171213",
 			ExpectDiffSuppress: false,
 		},
-		// Latest image short hand
-		"matching latest image short hand": {
-			Old:                "https://www.googleapis.com/compute/v1/projects/debian-cloud/global/images/debian-8-jessie-v20171213",
-			New:                "debian-cloud/debian-8",
-			ExpectDiffSuppress: true,
-		},
-		"matching latest image short hand with project short name": {
-			Old:                "https://www.googleapis.com/compute/v1/projects/debian-cloud/global/images/debian-8-jessie-v20171213",
-			New:                "debian/debian-8",
-			ExpectDiffSuppress: true,
-		},
-		"matching latest image short hand but different project": {
-			Old:                "https://www.googleapis.com/compute/v1/projects/debian-cloud/global/images/debian-8-jessie-v20171213",
-			New:                "different-cloud/debian-8",
-			ExpectDiffSuppress: false,
-		},
-		"different latest image short hand": {
-			Old:                "https://www.googleapis.com/compute/v1/projects/debian-cloud/global/images/debian-8-jessie-v20171213",
-			New:                "debian-cloud/debian-7",
-			ExpectDiffSuppress: false,
-		},
 		// Image Family
 		"matching image family": {
 			Old:                "https://www.googleapis.com/compute/v1/projects/debian-cloud/global/images/debian-8-jessie-v20171213",
@@ -117,6 +96,16 @@ func TestDiskImageDiffSuppress(t *testing.T) {
 			New:                "global/images/family/debian-8",
 			ExpectDiffSuppress: true,
 		},
+		"matching image family short hand": {
+			Old:                "https://www.googleapis.com/compute/v1/projects/debian-cloud/global/images/debian-8-jessie-v20171213",
+			New:                "debian-cloud/debian-8",
+			ExpectDiffSuppress: true,
+		},
+		"matching image family short hand with project short name": {
+			Old:                "https://www.googleapis.com/compute/v1/projects/debian-cloud/global/images/debian-8-jessie-v20171213",
+			New:                "debian/debian-8",
+			ExpectDiffSuppress: true,
+		},
 		"different image family": {
 			Old:                "https://www.googleapis.com/compute/v1/projects/debian-cloud/global/images/debian-8-jessie-v20171213",
 			New:                "family/debian-7",
@@ -147,6 +136,16 @@ func TestDiskImageDiffSuppress(t *testing.T) {
 			New:                "projects/other-cloud/global/images/family/debian-8",
 			ExpectDiffSuppress: false,
 		},
+		"different image family short hand": {
+			Old:                "https://www.googleapis.com/compute/v1/projects/debian-cloud/global/images/debian-8-jessie-v20171213",
+			New:                "debian-cloud/debian-7",
+			ExpectDiffSuppress: false,
+		},
+		"matching image family shorthand but different project": {
+			Old:                "https://www.googleapis.com/compute/v1/projects/debian-cloud/global/images/debian-8-jessie-v20171213",
+			New:                "different-cloud/debian-8",
+			ExpectDiffSuppress: false,
+		},
 	}
 
 	for tn, tc := range cases {