bathroom sink drain leak

I had a bathroom delta faucet replaced with a hansgrohe logis loop faucet. There is now a slight leak where the metal of the faucet drain joins the plastic drain. The leak doesn't start until approximately 30 minutes after water has been run and lasts for about 10 minutes. It is leaking from above the plastic fitting joining the two pipes.

Why does it take 30 minutes for the leak to start? What should be done to fix the leak? Thank you for your help.

The faucet replacement should not have affected your drain,except that the delta bathroom  faucets usually include a plunger at that back that closes the stopper on the drain. Did they change the drain as well?
If so,or if the simply disturbed the existing drain, they might not have created a bad deal between the drain pipe and the sink itself.
Are you filling the sink up? A problem like this might even not reveal itself otherwise,since the water usually flowes past this point quickly. Water sitting in a sink puts pressure on that seal over time.
I always test a newly installed drain by filling the sink,waiting,and checking for leaks with my hand and toilet paper.

I would check this sink the same way, and probably re-install the drain. Silicon or petroleum free plumbers putty for a cultured stone sink, regular old plumbers putty is OK for anything else.

Howdy Leticia welcome to permies !

So below the leak is there a bend in the plastic piping that forms a sort of s laying on its side , shape?  I am thinking this "trap" may be plugging and the water is backing up to the point where the metal goes into the plastic.