Breaking into Ibanking as a Commercial Litigator

Hi everyone,

Quick background: I currently work in commercial litigation at a major (top five nationally in revenue) U.S. law firm. I'm a graduate of a "lower Ivy" law school, and my undergrad was at a decent enough place in terms of its I-banking rep (think Chicago, Northwestern, UVA, etc - double major in econ/polsci, 3.7 GPA)

A few months ago I was involved in a business tort case involving I-banking related contractual dispute, working alongside my firm's M&A group, and it got me wishing that I could someday be on the other side of these kind of deals.

I wanted to ask WSO what my best route would be to break into banking. I cracked a 710 on the GMAT recently with slightly more than a month's prep (is that even enough for the best law schools?), should I be looking to get an MBA and then attempt the career switch? Or is it possible in my situation to network directly in? Most of my work has been in contract dispute, but I haven't worked much with banks unfortunately.