Browns general manager Tom Heckert has admitted that he has had talks with the Rams about the No. 2 overall pick, but he wouldn't classify them as "serious."
Heckert was asked if Cleveland would be willing to give up both their first-round picks to go higher.
"I'd never say never about anything," he said.
The team plans to attend Robert Griffin III's pro day workout on March 21.
Browns Confirm Trade Talks With Rams