Married Filing Separately - My spouse e-filed before me and accidentally claimed me as a dependent so my return was rejected. Can he change his, so I can e-file again?

My spouse accidentally checked the box on his return that "Someone can claim your spouse as a dependent."  His return was accepted.  I then e-filed claiming my daughter as a dependent and my return was rejected.  As I understand it, this was because I can't claim my daughter as a dependent if someone else has claimed me as a dependent - or in this case, said that someone could claim me as a dependent.

How can I get my return accepted? Can he e-file an amended return correcting the mistake so that I can e-file mine again, and have it accepted?