Connect 2 ISP

Our new telecommunications provider includes internet service over a T1 line with a Cisco router and unlimited VPN accounts. For internet use, we are using Verizon Fios @ 15M d/l & 5M u/l with a Dlink router.
VPN would come in on the T1, but it is not connected to our internal network, which is connected to Fios.

Is there any way to connect our internal network to the VPN router but still use Fios high speed for internet access?