Samba will always win an election process and become a mater browser over win32 (except domain controllers), so in order to prevent NASLite from becoming master browser in the network, you'll have to set your linux box to do that instead. That can be done by modifying the smbd.conf file, in perticular the "local master" and "os level" directives. Take a look at
http://us2.samba.org/samba/docs/man/manpages-3/smb.conf.5.html for details.
The above should work provided your network is configured as a workgroul and everything is properly set.
Hope that helps.