On Wednesday's "LIVE with Kelly and Michael," co-host Kelly Ripa inquired about the rumors saying, "Once in a while, I see your name in the paper, and I get excited."
"I saw my name in the paper too," Strahan responded. "I was surprised."
Strahan, a retired NFL player who joined "LIVE" in 2012, said he had a meeting about the possibility of doing something for the morning news show.
"We talked, and we'll see," Strahan said.
When Ripa asked if he was going to take the job, Strahan said, "I don't know."
"GMA" recently lost Sam Champion to The Weather Channel and Josh Elliot to NBC Sports, leaving George Stephanopoulos with four women: Robin Roberts, Amy Robach, Lara Spencer and Ginger Zee.
The former New York Giant said even if he joined "GMA," he wouldn't do it every day because he's already too busy, as he also works for Fox Sports during the football season.
Strahan reiterated that he would not be leaving "LIVE," calling it his priority.
"This is what I do. This is me. This is my home right here," he said. "This is my love."
The Associated Press contributed to this report.