Fenlon's men appeared to have turned a corner after a recently poor run of form by collecting four points from two successive away games.
After beating St Mirren, Hibs were only denied victory over Dundee United after a controversial penalty award late in the game at Tannadice.
The team face a tough run-in with an Edinburgh derby following tonight's game with Kilmarnock and, thereafter, fixtures against Motherwell, Inverness Caley and Celtic.
Fenlon said: "Winning at home is vital but it doesn't mean it's going to be easy as Killie are a decent side who are on a good run themselves.
"We have a tough run. We have been a little bit unlucky in relation to the amount of away games we have played against the top teams as well.
"But that's life, you have to get on with it and, in fairness, our better results have probably been against the bigger teams as such."