Hibs are fourth in the SPL, but have four points from their last seven matches after the 1-0 loss to 11th-placed Ross County on Boxing Day.
Leaders Celtic are an entirely different proposition to the men from Dingwall, but Fenlon is optimistic after drawing 2-2 at Celtic Park earlier this season.
Fenlon, whose side play Hearts in the Edinburgh derby on January 3 before the mid-season hiatus, said: "It's a big week for us. Celtic at home and Hearts away are massive games, but they're great games to look forward to.
"We shouldn't have to worry about getting people up for the next two.
"We feel we're capable of getting something out of both games.
"It's important we approach them in the right manner."
Fenlon bemoaned the tempo set by Hibs against County, who were content to put men behind the ball in a dull encounter. Celtic's approach will be different.
"You probably won't have as much as the ball as we did yesterday, but you've got to have a game plan and make sure you carry it out properly," Fenlon said.
"Retention of the ball against a team like Celtic is really important, your concentration levels have to be really high as well because they've got players in all positions that can cause you problems.
"We've got good players, we've got a good crew there and they work tremendously hard. To be overcritical of them is not really fair.
"There's not many times where we've played here and not got to the tempo we want.
"We just need to make sure we approach every game in the same manner. We've got to make sure when we play the likes of Ross County at home it's as big a game as Celtic."
The winter transfer window opens in less than a week, but Fenlon is still awaiting news on loanees Leigh Griffiths (Wolves), Ryan McGivern (Manchester City) and Jorge Claros (Motagua, Honduras).
Fenlon would like to retain all three, but has targets lined up should any of them leave at the end of their current deals.
"We'll wait and see over the next few weeks," Fenlon said.
"We've got a list together. If they don't stay we need to have replacements.
"It's a difficult scenario at the moment. We can't make the final decision on that."