Wood is coming off arthroscopic shoulder surgery in late August, and made his first start last Thursday against Washington. In the game, Wood threw 71 pitches over five innings, serving up three home runs.
Rothschild said he wants to see how Wood feels on Monday.
"If we need to be guarded with him, we'll be guarded with him," Rothschild said.
First in line: John Mabry started at first base on Sunday for the Cubs, his ribs a little tender from Saturday's fracas with the White Sox.
"I just got underneath the pile," said Mabry, who was tackled by White Sox outfielder Brian Anderson, and then found himself being pummeled by several players.
"I was just on the bottom of the pile," Mabry said, refusing to go into any other details of the bench-clearing altercation. "People come moving in that direction, and you get trampled."
Mabry was one of four players ejected after the fight, and was surprised to get tossed.
"They make a decision based on what's going on," Mabry said. "They make a decision, and there's not much you can say. You have to live with it."
Jerry Hairston Jr. subbed at first base for Mabry, the first time in his career to play the position.
"It was a little different experience," Hairston said. "I tried to make the best of it. Obviously, [Todd Walker] was the DH, and we didn't have another first baseman."
Hairston had to borrow Walker's glove.
"It was an experience, that's for sure," Hairston said.
Watch your step: Derrek Lee, who should be starting at first, was on the fringe of the melee on Saturday. Lee is on the disabled list and has his right wrist in a cast. When the fight broke out in the second inning, he went onto the field.
"I guess I could've [gotten hurt], but I could've gotten hurt walking down the stairs," Lee said.
Instead of throwing punches, Lee was talking to White Sox outfielder Jermaine Dye.
"I wasn't doing anything," Lee said. "I don't think you're supposed to come off the bench even if you're not on the DL. It's one of those things -- your teammates are out there, you go out."
Roster move: Cubs left-hander Rich Hill was demoted to Triple-A Iowa on Sunday and right-handed reliever Michael Wuertz recalled from the Minor League team.
Wuertz, who started the season with the big-league team, was 1-0 with a 1.23 ERA in 10 games for the Iowa Cubs, striking out 19 over 14 2/3 innings.
The Cubs don't need a fifth starter this week because of an off-day on Thursday. They could insert left-hander Glendon Rusch back into the rotation or consider right-hander Jae Kuk Ryu. Ryu was up briefly with the Cubs, making one relief appearance.
Minor matters: Ryan O'Malley gave up two runs on seven hits over six innings in Iowa's 7-6 loss to Fresno on Saturday. Micah Hoffpauir hit two solo home runs, and was 3-for-4 on the day. ... Thomas Atlee picked up the win in West Tenn's 1-0 victory over Mobile. Atlee struck out three in two innings of relief work. Clay Rapada earned the save, his 12th. ... Sean Gallagher gave up two runs, one earned, on six hits over seven innings in Daytona's 6-4 win over Tampa. Matt Craig had three hits. ... Donald Veal gave up one hit over six scoreless innings, and struck out 10 in Peoria's 2-1 win over Beloit.
On deck: The Cubs head south for a quick three-game series against the Florida Marlins. Rookie left-hander Sean Marshall (3-1, 4.26 ERA) will start against former Cub Ricky Nolasco (2-1, 3.43 ERA), who was dealt to the Marlins in the Juan Pierre trade, on Monday. The game will be broadcast on WGN Radio and Comcast Sports Net. First pitch is scheduled for 6:05 p.m. CT.