The Easter Road outfit bring the curtain down on their season when they take on the UEFA Cup qualifiers on Thursday.
If defeating the side who pipped them to European football is not enough of a spur, Nish knows the financial rewards for claiming fourth spot would boost club finances.
Considering where Hibs languished when Paatelainen took over at the turn of the year, Nish feels achieving fourth place would be a creditable feat.
The forward, who left Kilmarnock for Hibs in January, said: "I think since the manager came in he's taken us up quite a few league places.
"That shows the improvement in the team and hopefully if we can continue that into next year then we'll get a few more points on the board than we did this season.
"We're trying to finish fourth on Thursday, so I think the manager may want his strongest team.
"The fact the game is at home also makes it a wee bit easier to motivate yourself. It's a game we want to win to go out on a high.
"Next season we've just got to get it in our heads that we want to finish where Motherwell have in third - and we'll be aiming to do that."