The goalkeeper was forced off at half-time in his side's eventual 2-1 win at Goodison Park on Sunday after suffering from pain in his groin.
Chelsea have since confirmed Cech is to have further assessment on Monday after sustaining a "strained adductor muscle at the top of his leg".
And the Czech is hoping for a positive result from the scans, as he told his official website: "I think it was in 40th minute when I was punching the ball away and when I jumped I felt pain in my right groin.
"I finished the half knowing I would not be able to continue after the break. We will see how serious it is. We will know more after the medical check that I undergo tomorrow."