With Grossman entrenched as the starter Lovie Smith, who spent three seasons in St. Louis and knows Warner personally doubts that being a backup is in the quarterback's mind.
"I assume if Kurt does leave, he wants to be the starting quarterback somewhere, which he should.
"He's a friend of mind, so we have a personal relationship, but we have our quarterback here. We're very happy with him. I hope for Kurt if he does leave, he can go somewhere where he can be the quarterback."
Chris Chandler signed with St. Louis after being cut by the Bears last month and that acquisition all but ended Warner's tenure with the Rams. Earlier in the week Warner's agent, Mark Bartelstein, said the Rams plan to release the 32-year-old after June 1st.
However the story took another turn on Wednesday when Rams coach Mike Martz told The Associated Press that Bartelstein was overreacting to his decision to make Marc Bulger the Rams' starting QB for 2004. Martz said he never specifically said Warner would be cut.
St. Louis is trying to clear cap space in an attempt to sign Marc Bulger to a long-term extension and cutting Warner will save the Rams $4.85 million against this year's salary cap. Warner is due just under $19 over the final three years of the deal.
The Bears signed Jonathan Quinn during the off-season to backup Grossman.
Most teams have addressed their quarterback needs in free agency or plan to through the draft, so Warner could have to settle for small money in a supporting role. Plus there is a good chance that Warner's best days are behind him, as his only start came in the season opener where he fumbled six times against the Giants. He hasn't won a game since the 2001 NFC Title game.
"Yes, I think he can still play," Smith said. "He played at a high level not long ago. ... I don't think he's lost it that quick."
The Bears still plan on selecting a quarterback on the second day of the draft.