The Morecambe striker is on the four-man list after netting five goals in as many appearances last month.
Chief among them were his long-distance turn and lob in the defeat against AFC Wimbledon, as well as his 25-yard strike in their victory against Lincoln City.
Morecambe winger departs the club by mutual consent
Morecambe youngster completes Sunderland move
Morecambe firm backs Roman Fury - brother of Tyson Fury - as he prepares for debut fight
A former bobby, a novelist and now rugby reporter - Preston-born Barry Lees discusses his varied career
MATCH REPORT: Morecambe 1 Fleetwood 1
Stockton will be looking to make it back-to-back awards, having won the August prize as Morecambe adapt to life in the third tier.
Joining the 27-year-old in being nominated are Lincoln winger Anthony Scully, MK Dons midfielder Scott Twine and Sunderland full-back Carl Winchester.
The winner will be announced on Friday morning.
Thanks for reading. If you value what we do and are able to support us, a digital subscription is just £1 per month for the first two months. Try us today by clicking here