The Spaniard was forced off after just three minutes of Albion's opening-day Championship match at Leeds United due to pain in his knee.
Orlandi, who returned to action against Millwall last weekend, has said that he will aim to build up his fitness over the next fortnight.
"The plan is for the next two weeks to do some extra work and try to get fitter," he told The Argus.
"We had a scan and it showed meniscus damage but I had an operation less than five years ago and the specialist said the damage shown comes from that.
"It's uncomfortable for me but we really don't know what is happening there. I need to see if I can work, get stronger in my leg and just cope with it."
Orlandi moved to Brighton from Swansea City in 2012.