I think a short stint at any 121 outfit and you should be golden! Although, there is a possibility of being picked up without it. No just never know these days.

A friend of mine was flying a G-650/GV/GIV for 13 years and left to fly for a LCC to get that 121 box checked, even though he was a former 121 Capt 15 years ago. It's been about a year, took the 150K/yr+ pay cut, still waiting.