You should be able to just rename or copy your ifcfg-eth0 file to be named ifcfg-p37p1 and restart networking.
Some more info on it:
How It Works
biosdevname uses information from the system's BIOS, specifically the type 9 (System Slot) and type 41 (Onboard Devices Extended Information) fields contained within the SMBIOS. If the system's BIOS does not have SMBIOS version 2.6 or higher and this data, the new naming convention will not be used. Most older hardware does not support this feature because of a lack of BIOSes with the correct SMBIOS version and field information. For BIOS or SMBIOS version information, please contact your hardware vendor. For this feature to take effect, the biosdevname package must also be installed. The biosdevname package is part of the "base" package group in RHEL 6.1. All install options, except for "Minimal Install", include this package. It is not installed on upgrades of RHEL 6.0 to RHEL 6.1.
How To Enable/Disable
To disable this feature on Dell systems that would normally have it on by default, pass "biosdevname=0" on the boot command line, both during and after installation. To enable this feature on other system types that meet the minimum requirements (see "How It Works"), pass "biosdevname=1" on the boot command line, both during and after installation. Unless the system meets the minimum requirements, "biosdevname=1" will be ignored and the system will boot with the traditional network interface name format. If the "biosdevname" install option is specified, it must remain as a boot option for the lifetime of the system.
Notes For Administrators
Many system customization files can include network interface names, and thus will require updates if moving a system from the old convention to the new convention. If you use the new naming convention, you will also need to update network interface names in areas such as custom iptables rules, scripts altering irqbalance, and other similar configuration files. Also, enabling this change for installation will require modification to existing kickstart files that use device names via the "ksdevice" parameter; these kickstart files will need updated to use the network device's MAC address or the network device's new name. Red Hat strongly recommends that you consider this feature to be an install-time choice; enabling or disabling the feature post-install, while technically possible, can be complicated and is not recommended. For those system administrators who wish to do so, on a system that meets the minimum requirements, remove the /etc/udev/rules.d/70-persistent-net.rules file and the HWADDR lines from all /etc/sysconfig/network-scripts/ifcfg-* files. In addition, rename those ifcfg-* files to use this new naming convention. The new names will be in effect after reboot. Remember to update any custom scripts, iptables rules, and service configuration files that might include network interface names.