TLS reliance on System Time

I’m interested to know if there is any reliance on system time (as defined by Linux or windows) when initiating a secure handshake. I’m aware that TCP typically uses a random number (RFC 1323) to provide a time stamp for message ordering, however I’m not sure of the TLS utilisation of system time. You can imagine this question being applicable to two system wishing to establish a secure connection but don’t share a synchronised time.