diff --git a/packages/csv-parse/lib/api/index.js b/packages/csv-parse/lib/api/index.js
index ca97838cd..38e8fa759 100644
--- a/packages/csv-parse/lib/api/index.js
+++ b/packages/csv-parse/lib/api/index.js
@@ -415,9 +415,10 @@ const transform = function (original_options = {}) {
         if (this.state.commenting === false) {
           if (
             max_record_size !== 0 &&
+            this.state.recordHasError === false &&
             this.state.record_length + this.state.field.length > max_record_size
           ) {
-            return this.__error(
+            const err = this.__error(
               new CsvError(
                 "CSV_MAX_RECORD_SIZE",
                 [
@@ -430,6 +431,7 @@ const transform = function (original_options = {}) {
                 this.__infoField(),
               ),
             );
+            if (err !== undefined) return err;
           }
         }
         const lappend =
@@ -442,18 +444,21 @@ const transform = function (original_options = {}) {
         if (lappend === true && rappend === true) {
           this.state.field.append(chr);
         } else if (rtrim === true && !this.__isCharTrimable(buf, pos)) {
-          return this.__error(
-            new CsvError(
-              "CSV_NON_TRIMABLE_CHAR_AFTER_CLOSING_QUOTE",
-              [
-                "Invalid Closing Quote:",
-                "found non trimable byte after quote",
-                `at line ${this.info.lines}`,
-              ],
-              this.options,
-              this.__infoField(),
-            ),
-          );
+          if (this.state.recordHasError === false) {
+            const err = this.__error(
+              new CsvError(
+                "CSV_NON_TRIMABLE_CHAR_AFTER_CLOSING_QUOTE",
+                [
+                  "Invalid Closing Quote:",
+                  "found non trimable byte after quote",
+                  `at line ${this.info.lines}`,
+                ],
+                this.options,
+                this.__infoField(),
+              ),
+            );
+            if (err !== undefined) return err;
+          }
         } else {
           if (lappend === false) {
             pos += this.__isCharTrimable(buf, pos) - 1;
diff --git a/packages/csv-parse/test/option.skip_records_with_error.ts b/packages/csv-parse/test/option.skip_records_with_error.ts
index 1389ff7e7..aecf99eab 100644
--- a/packages/csv-parse/test/option.skip_records_with_error.ts
+++ b/packages/csv-parse/test/option.skip_records_with_error.ts
@@ -159,6 +159,72 @@ describe("Option `skip_records_with_error`", function () {
     parser.end();
   });
 
+  it('handle "CSV_MAX_RECORD_SIZE"', function (next) {
+    const errors: CsvError[] = [];
+    const parser = parse(
+      { max_record_size: 5, skip_records_with_error: true },
+      (err, records) => {
+        if (err) return next(err);
+        records.should.eql([
+          ["a", "b"],
+          ["c", "d"],
+          ["e", "f"],
+        ]);
+        assert_error(errors, [
+          {
+            message:
+              "Max Record Size: record exceed the maximum number of tolerated bytes of 5 at line 2",
+            code: "CSV_MAX_RECORD_SIZE",
+          },
+        ]);
+        errors.length.should.eql(1);
+        next();
+      },
+    );
+    parser.on("skip", (err) => {
+      errors.push(err);
+    });
+    // Split the oversized field across writes
+    parser.write("a,b\n12");
+    parser.write("3456789,0\nc,d\n");
+    parser.write("e,f\n");
+    parser.end();
+  });
+
+  it('handle "CSV_NON_TRIMABLE_CHAR_AFTER_CLOSING_QUOTE"', function (next) {
+    const errors: CsvError[] = [];
+    const parser = parse(
+      { rtrim: true, skip_records_with_error: true },
+      (err, records) => {
+        if (err) return next(err);
+        records.should.eql([
+          ["a", "b"],
+          ["c", "d"],
+          ["e", "f"],
+        ]);
+        assert_error(errors, [
+          {
+            message:
+              "Invalid Closing Quote: found non trimable byte after quote at line 2",
+            code: "CSV_NON_TRIMABLE_CHAR_AFTER_CLOSING_QUOTE",
+          },
+        ]);
+        errors.length.should.eql(1);
+        next();
+      },
+    );
+    parser.on("skip", (err) => {
+      errors.push(err);
+    });
+    parser.write(dedent`
+      a,b
+      "1" xx,2
+      c,d
+      e,f
+    `);
+    parser.end();
+  });
+
   describe("with `bom` option", function () {
     it('handle "CSV_RECORD_INCONSISTENT_FIELDS_LENGTH" with bom (fix #411)', function (next) {
       let errors = 0;