Can an SSL cert issues to Tomcat be installed on a GlassFish server?

Hi,

I'm moving a number of webapps from a Tomcat 6 server to GlassFish 4. Since there are passwords involved, I have a commercial SSL certificate installed on the Tomcat server. The new GlassFish server will take over the same hostname when I make it production. Do I need to gt the certificate re-issued or can I simply install the existing Tomcat certificate on the GlassFish server?

Thank,
Rob Tanner