Richard Sherman could be staying in the NFC West.
Schefter noted the 49ers want to see how Sherman is progressing from the Achilles injury that kept him out for the final seven games last season.
Sherman told ESPN's Josina Anderson on Friday that he will start running on a treadmill next week.
A four-time Pro Bowler, Sherman has spent his seven-year NFL career with the Seahawks. His 32 interceptions since 2011 lead the NFL.
The 49ers are on the rise after winning their final five games when Jimmy Garoppolo took over at quarterback.
San Francisco's secondary was a weakness in 2017, finishing 20th or worse in opponent completion percentage (63.2), passing yards allowed (3,764), passing touchdowns allowed (27) and yards allowed per attempt (7.2).