In March, Gallen described a punch from White on his Cronulla team-mate Ben Ross in a round-two match against Melbourne as a "dog act".
White was retaliating to a late hit from Ross on Storm halfback Cooper Cronk.
White and Ross were both sent-off and subsequently suspended.
The State of Origin series is often billed as mate against mate, but has looked more like enemy alongside enemy since the NSW side was named on Tuesday.
Gallen has already cleared the air with NSW team-mate Anthony Laffranchi - his Blues room-mate - after copping a suspension in round three for fingering a head wound on the Gold Coast forward.
Asked if he'd sought White out during a harbour cruise bonding session on Tuesday night, Gallen said: "Yeah, we were just out last night and we were sweet, nothing.
"I don't think it's a big deal ... it's not a big deal as far as I'm concerned and as far as he's concerned.
"There was nothing to clear as far as I'm concerned. What happens on the field stays on the field, that's the way I play the game.
"I wasn't happy with the incident that happened and he wasn't happy with my comment and that's all that matters.
"We're playing with each now and we definitely don't have a problem with each other and there's going to be no sort of media talk or anything that's going to cause a rift between us two or this team."
Gallen said he'd have no hesitation in rushing to White's aid should the prop find himself on the wrong end of some Queensland attention next Wednesday at ANZ Stadium.
"Yeah, a hundred per cent, no doubt about it," Gallen told reporters.
"He was playing against me, that's all I had against him.
"I don't have anything against anyone off the field and certainly my team-mates.
"I'll be doing everything I can to make sure that they're safe and happy and that we win the game."
NSW had their first full training run under new coach Craig Bellamy at Toyota Park on Wednesday afternoon.
Gallen said the Storm mentor was a contender to top Sharks and Test coach Ricky Stuart in the intensity stakes.
"I'm fortunate to be coached by Ricky Stuart who's a pretty intense and passionate bloke, and Craig Bellamy was right up there if not more intense," Gallen said of NSW's first team meeting.
"I was really impressed with him actually.
"He really seems like he cares and he really wants to win and that's something that we definitely need here to win this series."
The Blues are desperate to avoid losing their third straight series and go in with a tag they're not used to wearing - underdogs.
"They've got probably the best backline that they've ever had," Gallen said of the Maroons.
"They've won the last two series and they deserve to be favourites."
But he added any talk of a 1980s-style Queensland dynasty was premature.
"They can think that but they've got to do it and there's going to be 17 guys from NSW that don't want them to do that and, we're going to be doing everything we can to win it back," he said.
Meanwhile, Blues bench utility Ben Hornby declared he was ready for the rough and tumble of defending at hooker in an Origin clash.
"I've played a little bit there over the last couple of years so I'm comfortable," he told AAP.
"I can tough it out for however long I have to be out there.
"It's one of those things, you go out there and you get your body in front of them and do your best."