Applying for jobs after graduation soon... when can I put a future internship on resume

I am a senior undergraduate student graduating this May. I just got a good, relevant internship that starts in late January and ends in April. I want to start applying in the next few weeks for full time jobs for after I graduate. My question is, can I put the internship I just got on my resume and apply for jobs with it if I haven't started the internship yet? Maybe if I make it clear the day it starts on and that it ends before I graduate?

I hope this is the right subreddit to ask in. Thanks.

usa jobs
usa jobs resume
usa hotel jobs
usajobs
usa jobs federal government
usa job in ksa
usa jobs
usa jobs login
usa jobs gov
usajobs.gov
www.usajobs.gov
usajobs.com
usajobs
usajobs.gov official