Incoming SA: When to start networking for FT positions

This summer going into my senior year I am interning as an IB SA at a MM bank that is not well known. When is it appropriate and okay to start networking with BB/EB/Top-MMs for FT opportunities.

Is now too soon? Is April/May too soon? Should I wait until I've started my SA stint?

I can claim the reason I am reaching out is to hear about other banks, and because I want to move from my city to NYC.

Please advise on FT recruiting and I will be thankful.

Thank you!