connecting two routers

I saw a video on Linksys.com that when connecting two routers Lan to Lan, the 1st router (with DHCP enabled) has IP address 192.168.1.1, and the 2nd router (the one not doing DHCP) is assigned 192.168.1.2.
But this is within the range of the 1st router. Isn’t there a concern that the 1st router will try to hand this address to a another device and cause a conflict?
Shouldn’t the 2nd router be assigned 192.168.2.1?