Reports had surfaced that the Peruvian police handed over a disc from the Dutchman's computer to the FBI which they believed might help finally crack the case involving the Alabama teenager who went missing in Aruba in 2005.
But Navarro has poured cold water on these hopes by claiming the FBI are "wasting their time" with this latest line of inquiry.
"We are not worried. The FBI they are wasting their time looking for such evidence, we are not worried about it at all.
Peruvian police high tech official Oscar Gonzalez claimed that "there is additional information that could be of interest" in the confiscated computer of Van der Sloot, who is currently locked-up in Peru's Castro Castro prison waiting to stand trial for the murder of Peruvian college student, Stephany Flores.
It's alleged Flores was murdered by Van der Sloot after she started digging through his computer and found information pertaining to Holloway.
But Navarro disputes these claims also as he prepares to launch his defense of his controversial client.
"She did not find any direct information about the case."
Flores was killed in Van der Sloot's Lima hotel room five years to the day that Holloway disappeared in Aruba; she had been bludgeoned and asphyxiated.
"The manner in which the suspect killed Stephany evidenced disproportionate violence," attorney Edward Alvarez said.