Full Idea
Strong internalism says only current conscious states can justify beliefs, but this has the problem of Stored Beliefs, that most of our beliefs are stored in memory, and one's conscious state includes nothing that justifies them.
Gist of Idea
We can't only believe things if we are currently conscious of their justification - there are too many
Source
Alvin I. Goldman (Internalism Exposed [1999], §2)
Book Reference
Goldman,Alvin I.: 'Pathways to Knowledge' [OUP 2002], p.8
A Reaction
This point seems obviously correct, but one could still have a 'fairly strong' version, which required that you could always call into consciousness the justificiation for any belief that you happened to remember.