It's early to start to discuss the CBI or CIT tournaments, but here is a tweet from the Indiana State broadcaster suggesting that Indiana State might have been contacted about a bid to a postseason tournament. I do not believe the NCAA or NIT people contact schools in advance of issuing a bid, and Indiana State NET of 93 is a longshot to get them an NIT bid. So this seems more likely to be a potential bid to the CBI or CIT.
MVC schools that may be potential CBI or CIT candidates-
SIU- 23-10, 14-6 - NET 122
Belmont- 21-11, 14-6 - NET 116
Indiana State- 22-12, 13-7 - NET 93
Missouri State- 15-15, 12-8 - NET 143
Murray State- 17-15, 11-9 - NET 214
MVC schools that may be potential CBI or CIT candidates-
SIU- 23-10, 14-6 - NET 122
Belmont- 21-11, 14-6 - NET 116
Indiana State- 22-12, 13-7 - NET 93
Missouri State- 15-15, 12-8 - NET 143
Murray State- 17-15, 11-9 - NET 214