But the Ravens still signed veteran Cleo Lemon to add depth at the position.
Baltimore is now carrying five quarterbacks with the addition of undrafted rookie Drew Willy on Saturday.
While Beck did throw some passes in the early portion of Sunday's practice, he did not participate in any of the team drills.
"I don't think it's going to be very long. I'm not sure how many days," Harbaugh said after practice. "We'll probably know more tonight when we have our meeting with the trainers, but it shouldn't be too long."
Lemon, 29, joined his group of red-shirted quarterbacks in a No. 8 jersey.
The six-year veteran most recently played with the Jacksonville Jaguars, but his most extensive playing time in the NFL came in 2007 with the Miami Dolphins.
That year, Lemon was coached by Ravens offensive coordinator Cam Cameron, who also coached him as offensive coordinator of the San Diego Chargers from 2004-05.
Lemon played in nine games for the Dolphins, starting seven. He completed 173 of 309 passes for 1,773 yards, six touchdowns and six interceptions. Lemon's only win out of eight contests as a starter came against the Ravens on Dec. 16, 2007, a 22-16 overtime victory that resulted in Cameron's only win as a head coach.
"Cleo is a guy that has had some success," Harbaugh said. "He's been in the system with Cam, so that's a big plus. He can call the plays the first day, and he didn't really miss a beat with that. We'll just give him a chance to compete and see what he can do."
Lemon, who was close to signing with the New England Patriots two weeks ago, said his relationship with Cameron is a benefit.
"I'm comfortable working with coach Cam, from the San Diego days and the Miami days,"' Lemon explained. "I have experience in his system, and hopefully, I can come out here and get the job done.
"Some of the stuff is pretty familiar. But there are a lot of new things that I'm trying to catch up with because I'm here for the first time, so I have a lot of studying to do."
In his second tour of duty with the Ravens, Willy, who spent time in purple and black during offseason minicamps, is simply happy for a chance to compete.
"I'm just going to keep working and listening to Hue [Jackson, quarterbacks coach] and coach Cameron," said the University of Buffalo product. "They're two of the best, so when I get my opportunity, I have to make the most of it."
In 2008, Willy set the single-season school record at Buffalo with 3,304 yards passing, 25 touchdowns, and only six interceptions.