Will he initiate something?

A new potential friend and I were discussing getting together for a drink (for the first time). It was my idea, and he agreed. We talked about this at the beginning of May. Because we were both planning to be abroad for most of May, he suggested we meet in the first two weeks of June. I agreed. I texted him on Thursday, 30th May, asking him if he is free on the weekend (1st or 2nd June), to which he responded that he sadly doesn't have time this weekend. I responded OK, then we will meet some other time. He did not reply or suggest any alternative.

We worked on one project together that has now finished, and I sent some emails regarding completing the project to the whole group the following week. He responded to my email and wrote that he would probably have time to meet for that drink in the next two weeks (10th-23th June). And that he is just letting me know so that I know a bit in advance.

I decided not to respond to that email since his phrasing was weird. (How do I plan to meet somebody who will probably have time, and he didn't even explicitly state which days?) However, I still expected him to contact me when he would be free in these two weeks, but he still hasn't.

What do you think of this situation? I think now is his turn to suggest a day. Am I right? Is there still hope he will initiate something in the following days? Or is he expecting me to do it again?

He is about 10-15 years older than me, and our relationship is friendly - not romantically/sexually driven.

Thank you!

Will he initiate something?
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