Should I tell them I am expecting other offers?
The answer is no unless you’re a really good negotiator. They might shorten your timeline to make sure you won’t have both offers on the table at the same time. You should wait to tell the recruiter until you have actually received other offers.
Letting the recruiter know
You should let the recruiter know as soon as possible once you have received another offer. If you expect to receive more offers then you should try wait until those come in too. When letting the recruiter know, try saying:
“I do have some competing offers. I’m really excited about this company though and would love to make it work here.”
The goal after telling them that you have other offers is not to necessarily tell them how much those offers are for though.
“Can you share the details of your offer so we can best advocate for you with the compensation committee.”
“I’m not really comfortable discussing the details of my offers and processes right now. I’ve outlined what I’ve researched and what my other offers would indicate is my correct market rate. I’m excited to hopefully make it work here as I’m really excited about this company.”