Griffiths struck 28 goals for his boyhood favourites last year as he fired them to a Scottish Cup final place, but he was recalled south by parent club Wolves after spending 18 months on loan in his native Leith.
Hibs chairman Rod Petrie tried desperately to persuade the Molineux side to sell the Scotland forward but instead turned to Swindon striker Collins when their bids were knocked back.
Yet five games without a goal left some of the Edinburgh club's supporters fearing they had made the wrong choice - but Collins has now started turning his doubters round after he grabbed his second goal in as many games in Saturday's 2-0 win over St Mirren.
Now he believes only extending that productivity will ease the pressure on him to replace Griffiths.
The Englishman said: "Once you get the first goal out of the way the pressure is lifted a bit and you can relax a bit and try to go on and score a few more. That's what I'm looking to do.
"It would have been nicer to get a goal earlier on after my move up here, especially after Leigh Griffiths being here last year. I had a lot of people asking if I was feeling the pressure.
"They are big boots to fill. Leigh is a Hibs fan and I understand that he loves the club and that he did so well when he was here. He was a hero to the fans.
"Am I different player to him? I'm not sure because I've not seen much of Leigh as a player as he has mostly played up here but I'm just trying to work as hard as I can and hopefully the goals will come. That's the only way people will stop asking me about him."
While Hibs have buried memories of their humiliating start to the season by going five games unbeaten, St Mirren remain deep in trouble after a miserable recent run of results.
The Paisley men have yet to register a win this term and their shabby defending against Pat Fenlon's men has done nothing to ease the tension being experienced by boss Danny Lennon as he clings onto his job by his finger nails.
The Buddies were hapless as Michael Nelson was allowed to win the jump for Kevin Thomson's long free-kick unchallenged, knocking it down for Collins to head home from close range, while none of the Saints defenders checked Paul Heffernan's run as he darted to the near post to score the second.
But 19-year-old keeper Chris Dilo - who was handed his first Saints start after Lennon dropped first choice David Cornell - claimed the manager is keeping his cool in the face of adversity.
"We lost so the manager is not going to be happy but he is a calm manager so even when he is mad, he stays cool," said the former Blackburn youth. "He is under pressure but we are all trying to work hard in training and follow what he is saying and hopefully that will turn things around."