ORA-00060: deadlock detected while waiting for resource

Hi I need to insert data into a table from two diffrent processes running simultaneously. The data is exclusive to the processes so there is no chance I will mess up anything if on process writes and the other reads. I get the ORA-00060: deadlock detected error whenever I try to do two inserts on the same table simultaneously. Is there any way I can prevent that?

Thank You,
~Sumit