The phrase "some sort of compensation" is correct and is commonly used in written English.
It is typically used to refer to a vague or unspecified form of reparation or payment for something that has been lost or taken away. Example: After the company went bankrupt, the employees were promised some sort of compensation for their lost wages.
She thought that the U.N. should pay the survivors some sort of compensation.
Most proposals involve some sort of compensation, either through reduced electricity bills or investments in local infrastructure.
Players from that era have long sought some sort of compensation for having fallen through that crack.
There was a case for seeking some sort of compensation for the huge discounts and exorbitant profits that Mr Khodorkovsky and others had enjoyed.
All three will presumably demand some sort of compensation for turning off the taps, perhaps in the form of development aid or cheap oil from the Gulf states.
Nuclear-power status is some sort of compensation for the penury and hunger they will endure instead.None of the five other parties to the talks America, China, Japan, Russia and South Korea wants North Korea to have nuclear weapons.
Rather than paying hefty bonuses in cash every January or February, a bank gives its most highly paid employees some sort of deferred compensation designed to decline in value if "profits" turn into losses.
–Your Heirs Get Nothing - Most homeowners hear the word "insurance" and assume that their spouse or their kids will receive some sort of monetary compensation if they die.
However, a possible explanation, at least in part, could be the Swedish social insurance system, which guarantees a right to receive some sort of sick compensation and that illness in itself does not constitute grounds for dismissal according to Swedish legislation.
Tell the Lawyer that you expect some sort of monetary compensation for the pain that you have suffered.
He raises money to compensate donors for expenses and lost wages (that sort of compensation is legal).
