What's the other switch model ?
According to
http://www.cisco.com/en/US/products/hw/switches/ps5528/products_installation_guide_chapter09186a0080331b76.html
"When connecting the ports to other devices, such as switches or repeaters, you can use a two or four twisted-pair crossover cable. Figure B-6 shows the two twisted-pair crossover cable schematics. Figure B-8 shows the four twisted-pair crossover cable schematics.
Note You can use the mdix auto interface configuration command in the CLI to enable the automatic medium-dependent interface crossover (Auto-MDIX) feature. When the Auto-MDIX feature is enabled, the switch detects the required cable type for copper Ethernet connections and configures the interfaces accordingly. Therefore, you can use either a crossover or a straight-through cable for connections to a copper 10/100, 10/100/1000, or 1000BASE-T SFP module port on the switch, regardless of the type of device on the other end of the connection.
The Auto-MDIX feature is enabled by default on switches running Cisco IOS Release 12.2(18)SE or later. For releases between Cisco IOS Release 12.1(14)EA1 and 12.2(18)SE, the Auto-MDIX feature is disabled by default. For configuration information for this feature, see the switch software configuration guide or the switch command reference.
You can use Category 3, 4, or 5 cabling when connecting to 10BASE-T-compatible devices. You must use Category 5 cabling when connecting to 100BASE-TX-compatible devices.
Note Use a straight-through cable to connect two ports only when one port is designated with an X. Use a crossover cable to connect two ports when both ports are designated with an X or when both ports do not have an X.
This applies only to switches on which Auto-MDIX is disabled. "
