Direct entry F/O in major US airlines

[Flykri]

Hi guys,

currently holding an EASA ATPL(A) with DHC8 type rating. 1100h as PIC and 6000h+ totals.

I was wondering what was the probability of directly entering a US Major from an european airline.

If the chance is close to zero, I'll avoid wasting my time converting my licence to a FAA.

Thanks in advance.