Incremental backup failed once, do i have to re-run Full backup?

We're using Backup Exec 12.5, and run a full backup of our Exchange server once every month, and then a daily incremental backup. This months full backup was successfull, and the incremental backups has also been sucessful, until the one that we ran the 15th ("Initialization failure on...Second storage group") Yesterday, the incremental backup ran successfully again, without any action taken.

My question is: Will I be able to restore this backup, if needed, although one of the incremental backups was "failed". Or do I have to run a new full backup to secure it?