The win gave head coach Bruiser Flint his 213th victory at Drexel, tying him with Sam Cozen for the most in program history.
Drexel (1-1) trailed 30-27 late in the first half but went on a 14-2 run that spanned into the second half to take a 41-32 lead. The Dragons shot 46.7 percent from the field while holding Illinois State (0-2) to just 32.3 percent.
Drexel was coming off a 72-67 loss on Saturday at then-No. 22 UCLA.
Michael Middlebrooks recorded his first career double-double for Illinois State, scoring 10 points and grabbing 15 rebounds.
ESPN's Dan Dakich joins The Paul Finebaum Show to discuss the SEC's presence in the NBA Draft.
Ted Kapita was the top-rated recruit from West Virginia in the class of 2015 and recently played at DME Academy in Florida.
With the Suns drafting Tyler Ulis, they now have five guards on their roster who attended Kentucky.