Hibs are level with Celtic on eight points in the SPL but have played five games to the champions’ four.Motherwell is topping the table with 9 points.
“It’s important we focus on the next job,” the Hibs boss told BBC Scotland.
“We’ve got to change the mindset. When we do lose games and people knock us, we’ve got to take that.
“But when we win them we can’t think, ‘OK, we’ve won a few games, we are sitting OK in the table’.”
Tim Clancy and Paul Cairney scored second-half goals at Celtic Park to restore parity after Mikael Lustig and a James McPake own goal had twice put the hosts in front.
The hard-fought point was welcomed by Fenlon, especially after Hibs were knocked out of the Scottish Communities League Cup by Queen of the South in midweek.
“There is spirit about this group; that is the type of player that we have brought into the club, ones who are willing to put a fight on”
Pa Saikou Kujabi, who moved to Scotland, made 13 league appearances for Hibernian last season.
In the 2012/13 season the Gambian defender is yet to perform but was once selected as a substitute on the bench.