You will be fine. It (the CMOS output) can handle many CMOS logic inputs.
The "74L or one 74LS.", are old logic gate types, which used quite a lot of input current (relatively), hence the low fan out for them.
EDIT:
The "low fanout" I was referring to, is when a relatively weak CMOS output, tries to drive TTL, such as 74 LS inputs.
TTL to TTL has better fan-out.