doing your ojt in a company w/o partnered moa

someone pls help me with my dilemma.

i received an offer from a company to intern with them and i really like the benefits. however, wala silang existing MOA with DLSU and according to our coordinator, it'll take 5 weeks pa before siya maprocess which means matetengga ako ng 1 month na walang internship.

the company said they are willing to wait naman for me but i dont wanna be the cause of any delay in their end.

should i just give the slot to someone else? did someone here experience the same thing? how long did it take and what was the process for all of it please help thank you <///3