The Hawks received McEvoy in exchange for pick No.17 and Shane Savage earlier in the Gillette AFL Trade Period and it was understood the clubs would exchange further draft picks as a sweetener for St Kilda.
That swap was finalised on Tuesday morning, with the Saints sending pick No.24 and No.59 to the Hawks in exchange for No.19, the compensation pick received for Lance Franklin.
St Kilda now holds three selections inside the top 20, with pick No.3, No.18 and No.19.
The Saints are expected to play hardball with the Brisbane Lions over ruckman Billy Longer, refusing to give up one of those prime selections for the former top-10 pick.
