Wood, who is working through shoulder fatigue, threw 25 pitches in the Citizens Bank Park bullpen, and the next step is to see how he feels on Saturday before throwing a simulated game on Monday afternoon.
"He did well," Cubs manager Dale Sveum said. "He threw all of his pitches. He spun the ball really well, and we're probably looking at, if everything goes good, a sim game on Monday, and then we'll go from there. We're shooting for Thursday [for] another sim game and then see where we are on Thursday."
Meanwhile, Dempster continues to see improvement in his right quad and appears on track for his return.
"Everything went really well," Sveum said. "His running went well, the bullpen went great. He's ready to come back on his day."
Dempster can come off the 15-day DL as early as May 3.