There are no limitations according to the datasheet:
The Cisco Catalyst Supervisor Engine 6-E also provides flexibility and an easy migration path to 10 Gigabit Ethernet uplinks with dual-purpose X2 slots that can accommodate wire-speed 10 Gigabit Ethernet optics or Cisco Twin Gigabit Converter modules (Figure 2), enabling Gigabit Ethernet SFP optics.
The Cisco Twin Gigabit Converter Module, which ships standard with the Supervisor Engine 6-E (unless you order 10 Gigabit Ethernet optics on the configuration tool), converts a single 10 Gigabit Ethernet X2 interface into two Gigabit Ethernet port slots that can be populated with appropriate SFP optics, providing a total of 4 Gigabit Ethernet uplinks if used in both X2 interface slots. With the flexibility offered by the Cisco Twin Gigabit Converter Module, you can initially use the gigabit uplinks and then, as your business demands change, you can simply remove the Cisco Twin Gigabit Converter Module and insert 10 Gigabit Ethernet X2 optics to provide full line-rate 10 Gigabit Ethernet uplinks without having to upgrade. The ability to support both Gigabit Ethernet uplinks and 10 Gigabit Ethernet uplinks on a single supervisor engine further demonstrates the flexibility and the investment protection of the Cisco Catalyst 4500 Series.
Are there any log messages or traps generated when you're trying to connect your server?