You can apply for an H-1B extension beyond the 6-year limit if your green card process is underway.

Your employer can request an extension under the AC21 Act, which allows for an extended stay in the U.S.

The extension can be granted in one-year increments if your I-140 is approved and pending adjustment of status

Make sure to file your extension application before the current H-1B status expires to maintain lawful status.

Consult an immigration attorney to ensure timely filing and avoid any gaps in your status.