A lot of bitter people here accusing both the OP and his friend. As always stay classy Era, for once that there's some wholesome content.
Not every virgin with Aspie is on the verge of turning into an incel, Jesus.
Anyway, I think the best solution is to make a profile for him on a dating site, and stress in the description that he has Asperger's. Better put it on front imho, if it's showing a lot. If not, whatever, but from how you talk I think it would be easy to notice. He probably won't get many matches but with the ones he gets it would be half the job done.
Second, trying and get in contact with other girls with similar syndromes could also be smart. Maybe some new friendships would actually be enough for him to be less miserable.
To the ones saying a person won't make him happy, come on. He's 27 and a virgin. It would help a lot anyway. Also having Asperger's it's not like "not being good with women". It's clear he could need some help on that front.
I have a few friends who are almost 30 year old virgins and don't have any problem, yet they can't find a girl but that's because they're either bitter or simply not interesting enough. The OP's friend, poor guy, has an actual condition that makes it much harder for him to have social interactions.
Best of luck and if you manage to hook him up you're a real fucking bro.
Oh and your coworkers are a bunch of assholes.