"suggesting that perhaps" is correct and usable in written English.
It is used when one has a suggestion or is offering an opinion, but is not sure if the suggestion is correct or if the opinion is valid. For example, "I'm not sure if this is the best course of action, but suggesting that perhaps we could increase production."
I'm suggesting that perhaps the term "impartial" is a bit of a stretch.
Even the workmanlike Classic Burger is mobbed, suggesting that perhaps George Clooney dropped by to take orders.
— MerelyMe, Boston You are suggesting that perhaps the Patriots have not been fully candid about an injury situation?
But when the speedy Rays stole sparingly, they increased their scoring by 47 runs per season — suggesting that perhaps the Rays were running too often in real life.
By early September, polls indicated the just-not-ready ad campaign may have proven effective, with respondents suggesting that perhaps Trudeau was indeed inexperienced.
The foreign minister, K. Natwar Singh, was widely criticized for suggesting that perhaps the hostage-takers were motivated by money more than by politics.
Aborigines have sharply criticized Herron for suggesting that perhaps only 10percentt of Aboriginal children were taken from their families and for calling the term "stolen generation" rhetorical.
"Technology alone isn't going to solve the problem," he says, suggesting that perhaps social networks might work together to filter or tag objectionable content.
Before each, he read the sonnets Vivaldi wrote as preludes to each movement, suggesting that perhaps the composer should have stuck to his day job.
I wrote back suggesting that perhaps this was precisely the time Coutts should be considering supporting a charity that helped young people affected by the economic downturn.
He will be in the area for just four days, gingerly suggesting that perhaps the time is ripe to think about Tenet and Mitchell.
