Experience for Analyst position

Hello everyone!
I have asked kind of the same question in the different topic, but I want to get some opinions from current analysts or other people who work in BB banks.
I have graduated last summer (Top-tier school in my country) and started working at Big 4 TAS department (financial due diligence). I am planning to apply for Msc in Finance in London next year for 2015 intake as now it is kind of late. I am pretty sure that I am able to get into top schools (good gmat score, GPA and extras). Unfortunately I have no previous relevant experience in the field (except sales position at leading commercial bank).
So my concern is that:
By the time of appying, I am going to have 1 year of experience and by the time of graduation 2 years of exp.
Don't you guys think that recruiters will look at me as overexperienced for analyst position?
My end goal is is to land an Analyst position at BB bank in London.

Thanks in advance!