The DFL can't force first-year State Representative John Thompson to resign, but the House rules indicate he can be expelled from the chamber.
The Governor and others are calling for Thompson's resignation after reports of domestic abuse accusations between 2003 and 2010.
The House could expel Thompson with a two-thirds vote.
WCCO political analyst Blois Olson told Mike Max on The Morning News that the DFL can remove Thompson from their caucus, but that move might backfire.
"You can isolate him further, and maybe make him feel lonely," said Olson. "That's (likely) going to embolden him to kind of challenge the system, that a guy like him isn't allowed to serve or that it's racist."
The growing controversy began earlier this month when Thompson accused the St. Paul police department of racially profiling him during a traffic stop.
That traffic stop showed that Thompson had a Wisconsin drivers' license, raising residency questions.
Broadcast reports late last week brought up the issue of past accusations against Thompson, something Olson said was brought up last summer when Thompson was being vetted for his first campaign.
"From sources, last summer, when he was a candidate, some of these allegations came out," said Olson. "He was not honest with House DFL leadership, he said that's a different John Thompson. They did not hire an investigator, they trusted him.
Olson said because of that, he's learned that DFL leadership will change its candidate vetting process.