Linfield are unbeaten so far this season, with four wins and a draw in their opening five games.
They sit 12 points ahead of Larne, who they meet on Saturday at Windsor Park, although the reigning champions do have three games in hand.
Healy believes the pressure will be on Larne to perform given they are the defending champions and yet to win in the league this term.
“I had time with Tiernan [Lynch] at the Northern Ireland against Luxembourg game and we were bantering back and forth,” he said.
“He has put a little bit of pressure on saying, ‘it’s Linfield’s league to lose,’ etc, but when you win the league back to back, the pressure from within increases.
“With the size of the squad Larne now possess, with the depth and quality, it is going to create a huge problem for us.”
While acknowledging it is an important game, Healy was keen not to dilute the significance of a victory against their title rivals at this early stage.
“We have started the season OK and it is too early to say a game like this is going to determine the way the league title is going to go between us and Larne.
“You have Crusaders, Glentoran and Cliftonville, so there will be other teams in and around fighting.
“I don’t think it is the be all and end all win, lose or draw on Saturday, but we want to go and perform.”