The Storm haven't lost to the Rabbitohs in Melbourne in 20 matches over 27 years while Bellamy has never lost six straight games since taking over as coach in 2003.
Ahead of Saturday night's match at AAMI Park, Bellamy said he wasn't aware of his team's dominance over the Sydneysiders.
Souths sit fourth on the ladder while the Storm are languishing near the bottom, giving the visitors their best chance in recent years to snap the long-standing mark.
"I didn't realise that, no," he said of the Rabbitohs' record.
"Obviously they've been playing well this year, they've probably been better performing than us, so, yeah."
Bellamy felt there were some promising patches in their four-point loss to Canberra, but said his team would struggle again if they couldn't deliver for 80 minutes.
"We just seem to find ways of not playing for the 80 minutes, you know, like playing 50 or 60 minutes," he said.
"You don't win games in this competition playing for 50 or 60 minutes, and that's basically what we've been doing, we're just picking a different time each week of the 50 and 60 minutes.
"It's important that we get our jobs done for 80 minutes ... obviously there's going to be stages in the game where you're going backs against the wall and things are going to happen.
"That's when you've got to really stiffen up, you just got to keep turning up and getting your job done."
Bellamy said his team was on high alert for the left-edge attack of Latrell Mitchell and Alex Johnston.
Mitchell scored four tries last round to steamroll the Dragons while all-time leading tryscorer Johnston has scored six tries in six games in Melbourne, as part of a broader run of 17 tries in 15 games against the Storm.
"All of our defence has been an issue, but I'd like to think our right-hand side will be up for it.
"We know Latrell and Alex, how good a players they are and what they can do to you so if you don't aim up they can make a mess of us."
Souths coach Wayne Bennett, who had Bellamy as an assistant in Brisbane before taking on his Storm role, said the possibility of finally ending the Melbourne drought hadn't been a talking point.
"New game, new year so we'll just go down there and do our best and see what happens," Bennett said.
"I haven't been counting them (the losses) so I'm not thinking about it."
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