The 32-year-old has continued to deal with soreness in his left knee since he collided with Memphis Grizzlies veteran guard Mario Chalmers in preseason action back on October 11.
He played 33 minutes in the season-opening win over the Warriors but had just four points, though he did contribute 11 assists.
Paul, 32, did not play in Houston's second game of the season, a 105-100 win at the Sacramento Kings on Wednesday, but the injury is not considered serious by coach Mike D'Antoni.
According to reports, Houston is already looking to recruit a free agent to add cover for that position and one player who recently became available is veteran Jameer Nelson following his release by the Denver Nuggets. The Rockets can survive without Paul for a month.
West Virginia deflates Baylor just before halftime with last-second touchdown
The Bears received first-and-goal positioning after Mims was fouled on a pass from Smith at the beginning of the second quarter. But Jake Spavital went to work, expertly mixing the pass and run as West Virginia chewed up 64 yards in just 57 seconds.
"It's only a bump", D'Antoni said. "The last quarter we held them to 20".
After the Mavericks, the Rockets get the Grizzlies at home Monday, before pushing off for a three-game road trip. We're going to make sure it's 100 percent well.
"We'll see on Monday", D'Antoni said of getting his star back.