Hello;
You shouldn't have any problems on that. The 6508 is TTL compliant, and the TTL high level goes from 2.8V to 5V. That means the board is theoretically able to recognize the high state level of 3.3V.
The only thing you need to double check is the fanout/fanin specifications of both your 6508 and the third party board. You can get a good definition about fanout/fanin on any digital electronics book.
Hope this helps.
Filipe A.
Applications Engineer
National Instruments