Klich received the ball from a well-worked short corner before steadying himself to launch an unstoppable curling shot into the top right corner as the Riversiders were blitzed 4-0 at Elland Road.
The Pole faces competition for the award from West Brom's Matheus Pereira and Stoke City's Sam Clucas with Pereira nominated for his free-kick at home to Bristol City and Clucas shortlisted for his David Beckham-esque lob from the halfway line at Barnsley.
The winner will be a chosen by a fan poll with voting open from 6am on Monday at SkySports.com. Voting closes at 5pm on Tuesday and all winners will be announced at 6am on Friday.
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The shortlist for the poll is decided by a judging panel following suggestions from supporters via Twitter.
The judging panel comprises of Sky Sports’ EFL expert Don Goodman, Sky Bet sponsorship executive Matt Goodwin and EFL senior media manager Rob Meaden.
To suggest a goal to be considered for future Sky Bet Goal of the Month awards, fans can tweet details of their nominated goal to @SkyBet using #SkyBetGotM.
United head coach Marcelo Bielsa has already won the November Manager of the Month Award.