During the first session, he will throw 25 times. Then, after a five minute rest, he'll throw the ball 15 times to a hat 120 feet away.
"We are going to work this weekend and continue to throw," Perez said. "Then next week we'll go to the bullpen and throw off flat ground for a week, and the following week in the bullpen I'll throw off the half mound."
"I know they want to have me for the second half, so I want to focus on my arm and get healthy so I can help the team get to where we want to go."
Perez was 4-3 with a 4.38 ERA in 2014 but started the season 4-0 in his first five starts with a 1.42 ERA in 38 innings.
The 23-year old, who was a highly-regarded Rangers prospect, also pitched well in 2013 but may find it challenging to gain a spot in the starting rotation, should everyone remain healthy.
Last season, pitching depth was a concern. That's not the case entering the 2015 season, thanks in part to the additions of Yovani Gallardo and Ross Detwiler, who will have a chance to resume his career as a starter after a one-year hiatus in the bullpen in 2014 with Washington.
"It was a big point of emphasis for us this offseason," general manager Jon Daniels said of improving his starting pitching depth. "We feel a lot better now about that than we did before."
Martin split his offseason between Valenzuela and Dallas while working on his recovery.