Grobe said Linwood has "some issues to work through," and a source confirmed to ESPN's Brett McMurphy on Tuesday that he shoved a graduate assistant coach on the sideline during Baylor's 62-22 loss to TCU on Saturday.
"My plan right now is to not have Shock for Oklahoma. I think there's some attitude issues right now," Grobe said. "It's not anything major. It's not. ... If I throw out violation of team rules and all that, that sends everybody off thinking the worst. But he's just not been himself. He's not really been as focused as I think he needs to be, and he's in a tough situation.
"He's in a really good rotation with running backs right now, and you've got to be on top of your game. Things are not good right now. I just want to help him get his focus back."
Grobe said sophomore Terence Williams is his starting running back and that Williams and Ja'Mycal Hasty "deserved the opportunity" to get the majority of carries. Linwood finished with six carries for 27 yards on Saturday.
The senior is No. 2 on the team in rushing behind Williams this season. Linwood has rushed for 4,056 yards during his career and broke Baylor's school record in September. He also holds the school record for rushing touchdowns with 36.
Grobe expressed concerns about his team's focus on Monday after the Bears' 40-point loss to their rival. A day earlier, more than 30 of Grobe's coaches and staffers defended former coach Art Briles with a joint statement posted on Twitter on Friday night.
The interim coach said he knows everyone want their perspective known and doesn't think it's a bad thing. Grobe doesn't want to "put a muzzle" on his coaches and doesn't have a problem with the fact his players and coaches care about Briles. What concerns him is when making statements affects the product on the field.
"I just think that if you get too caught up in making statements, you play terrible. And that's what happened," he said.
Grobe said he believes the mentality within the program needs to be total focus on their final four games, starting with a road game at Oklahoma on Saturday.
"My problem is I want to focus on 100-plus great kids, and I don't think we can do that if we're fighting other battles right now," Grobe said. "You want your perspective to be known -- I understand that -- but I think if we have any hope to play together as a family and as a football team, we've got to focus on that right now. That's been my message. That's what I'm hopeful we can get to."
Grobe has issued suspensions to six Baylor players since August.
In addition to Linwood, wide receiver Ishmael Zamora served a three-game suspension for animal abuse, safety Chance Waz was suspended two games for "discipline issues" and kicker Chris Callahan and cornerback Jordan Tolbert were sat out one game for a sideline incident. Offensive lineman Rami Hammad continues to serve an indefinite suspension from the team and the university after an August arrest on a felony stalking charge.