Australian hooker Cameron Smith says any players found guilty of involvement in the NRL's betting scandal should be banished from the game immediately.

Rumours circulated on Tuesday alleging four NRL players were involved in a plan for North Queensland to kick a penalty goal as the first scoring play in their round 24 clash against Canterbury.

Police are investigating the unusual betting activity stemming from that match, and police media released a statement on Tuesday saying no time limit will be put on any findings.

Smith agreed with Collingwood AFL president Eddie McGuire that match fixing is the biggest evil facing sports and said a ruthless stance needed to be taken against players proven to be involved in illegal betting on rugby league.

"I'd want them out straight away," Smith said.

"Guys going out to fix games ... I'd like to think that when guys pull on a jersey for their club and they go out on the field that they're doing the best for their side and the best for their club and for their fans and for their team-mates.

"I know that the guys in Melbourne ... every time we go out on the field we go out to win.

"We don't go out to win buy two (points) or four or six, we want to do the best and how many points we win by we win by."

Rumours have also done the rounds that two Melbourne matches this year are the subject of further investigations, but Smith was adamant no Storm players have been involved in betting on matches.

Melbourne's losses to Manly in round 22 and Wests Tigers in round 25 have been questioned as suspicious, and although he's heard the rumours, Smith said there's no truth to them.

"I can only comment on our side and our club and I can tell you that I'm pretty confident all of our boys haven't been involved in match fixing or anything like that," Smith said.

"I heard the game against the Tigers and maybe the game against the Eagles were tossed up that there might have been some match fixing there.

"But we weren't playing for points, we travelled up to Leichhardt in front of a capacity crowd and we were in it for 60 minutes. And then the Brookvale game, well that was a game where we were just never in it.

"How can you put question marks over our side this year? We didn't know how we were going to turn up."

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