The Blancos goalkeeper, currently on loan at Championship club Middlesbrough, believes the duo are being kept on their toes by Carlo Ancelotti's rotation policy this season
Since his arrival from Sevilla over a year ago, Lopez has been selected in La Liga for Los Blancos, while Casillas has been used for Copa del Rey and Champions League ties.
The rotation by Carlo Ancelotti has led to reports of tension between Lopez and Casillas, who has been a mainstay at the club for the last 15 years.
However, having trained regularly with the duo, Mejias - formely Real Madrid Castilla captain and currently on loan at Middlesbrough - denies there is any problem at the club, insisting both men are consummate professionals.
"I wish the best to him [Casillas] and Diego," he told AS.
"They are two great goalkeepers. We did not think about it [rotation]. The two are performing and contributing to the team.
"That tension is positive, keeps them alert. You cannot ever relax.
"At Madrid, all are great professionals. It is the highest level. If someone is not fully trained it is impossible."
Ancelotti's men are currently second in La Liga, behind leaders Barcelona on goal difference, and next travel to Getafe looking for their fourth league win in a row.