All this means is that a lower court remedy is still possible. If the third circuit denies Berg's request, then he may re-apply to the SCOTUS.
The Supreme Court could also put a hold on the proceedings to administer the oath of office, but I doubt they would be so proactive and rather let the process work in the courts.
Berg issued a press release on his site obamacrimes.com. The statement includes Berg's reasons why he continues to pursue this option,
“Obama is setting himself up to be blackmailed and perhaps he is already being blackmailed. He was the candidate for ‘change,’ but look at his cabinet – 70% from President Clinton’s days and how about his Secretary of Defense, Gates. Give me a break!
There is nothing more important than ‘our’ U.S. Constitution and we will fight on!”



