Asked if he could beat Hamilton on Monday morning (NZ time), Rosberg replied: "Yes. But I also thought that the last two races. I need to improve."
This weekend's Bahrain GP offers him a good chance to stop the rut.
He has taken pole position in Sakhir the past two years, while Hamilton never has - although he beat Rosberg here last year in a thrilling contest when the Bahrain circuit held a night race for the first time.
Rosberg will be sharply focused in today's qualifying, after just missing out on pole position to Hamilton in Shanghai. That was when his composure started to crack, as he bellowed "Come on guys" over race radio to his engineers.
"Was it not understandable at the time to be frustrated? So I'll shut up next time on the radio? I'll just say it to myself," an animated Rosberg said yesterday at an entertaining news conference, where he also tried to defuse his latest row with Hamilton.
"'Come on guys' was just sharing disappointment with my team," he added. "How annoying it was to miss out on pole by four hundredths [of a second]."
Rosberg insists there is no lingering animosity with Hamilton, who the German claimed drove slower than he could to push him back into a duel with Ferrari driver Sebastian Vettel.
Vettel is four points ahead of third-place Rosberg in the championship standings.
"We discussed Sunday's event and then everything was clarified and cleared and on we went," Rosberg said, acknowledging that he may have handed Hamilton a psychological advantage by losing his composure so easily.
"Maybe, because I'm standing here and I have to answer all of these questions," Rosberg said. "But other than that I will do it again. There was the need to discuss things, definitely, after that race."
Rosberg and Hamilton's friendship - dating back to their childhood days racing karts against each other - was severely tested last season, when they had two major fallouts after races in Monaco and Belgium.
Despite insisting that this latest spat is over, Rosberg nevertheless spent most of his news conference energetically talking about it.
Asked if he'd changed his opinion of how last weekend's events unfolded, he snapped back: "It's not an opinion, I was stating facts," he said. "So my facts are still the same. Facts are facts."
Given his increasing level of frustration, Rosberg needs to win this weekend.
- AP