MINNEAPOLIS -- Right-hander P.J. Walters, who is on the disabled list with right shoulder inflammation, threw a bullpen session on Tuesday and if all goes to plan this week, he'll make a rehab start with Triple-A Rochester on Sunday.

Walters, who is eligible to come off the DL on Saturday, will throw another bullpen on Friday to get ready for Sunday's rehab outing.

"If all goes well, there's a good chance he'll throw Sunday down in Rochester and then we'll go from there," Twins manager Ron Gardenhire said. "We'll see how that works out."

Walters said his shoulder is feeling much better and that he didn't feel any discomfort in his throwing session on Tuesday.

"Everything was good," Walters said. "Everything seems headed in the right direction. I'm happy. There's no pain."

Walters, 27, posted a 5.40 ERA in seven starts before being placed on the DL on June 14 after allowing four runs without recording an out against the Phillies on June 13.

Pavano plays catch for first time

MINNEAPOLIS -- Right-hander Carl Pavano has yet to throw a bullpen session but played catch on Monday for the first time since being placed on the disabled list with a right shoulder strain on June 4.

Pavano, who officially has a right anterior capsular strain, has been working to rebuild strength in his shoulder.

Twins manager Ron Gardenhire indicated that Pavano still has a ways to go before rejoining the rotation because he still needs to build up his pitch count once he starts throwing off the mound.

"He's just doing his rehab work," Gardenhire said. "He has not gone off the mound yet. He's just doing his tossing program. There's not too much to it. It's a process. We're just letting him do his thing with the trainers. It's a program they have set up with a list, but we're not close."

Twins general manager Terry Ryan said he was encouraged that Pavano has started throwing but agreed with Gardenhire's assertion that Pavano isn't close to returning.

"I don't have a timetable but at least we're to that point," Ryan said. "I've always said it would be July, but I'm hoping it's more the middle of July than late July."

De Vries likely option to start in Saturday's DH

MINNEAPOLIS -- The Twins have yet to make an official decision but are likely to call up right-hander Cole De Vries to start on Saturday with a doubleheader scheduled against the Royals.

De Vries pitched for Triple-A Rochester on Monday, allowing two runs on six hits over eight innings against Charlotte.

Under the new Collective Bargaining Agreement, the Twins can call up De Vries on Saturday without making a corresponding roster move because rosters are expanded to 26 players for doubleheaders.

"We'll let you know here," Twins manager Ron Gardenhire said. "He's lined up really well here. So we'll see. But we really like to tell the player before we tell [the media]."

De Vries, 27, made three starts with the Twins this season -- going 1-1 with a 4.20 ERA -- before being optioned back Triple-A on June 7.