FYI:
I have the exact same pump and the exact same issue. In my case, it is even more of a problem for the tubes to lose the water because the outflow from my pump goes up 10 feet to the next floor. That pump's spec sheet specifically states that if the rollers stop the wrong way, this problem will occur
"If the pump stops with the drive axle in the horizontal position then the pump will not act as a non return valve."
That is just how this pump is designed. Replacing your hose will not address this. (Side note: Mine came with an extra hose, did yours?)
I have been using a RENA "Deluxe Airline Check Valve" for many years and have not had a problem.
Like this one: LINK
Your results may vary, greatly...after all, it is a cheap piece of plastic.