This is another common swipe at the film, but because Arbystrider brought it up, I looked up the August 1993 draft of the script written by the screenwriters found on Internet Movie Script Database (imsdb.com). The attachment of the script clearly states "months later" when we first see cub Simba since Mufasa's confrontation with Scar and Rafiki creates his emblem of Simba. How many months later, we will probably never know, though I estimate no more than 6 to 7 months.
I recall DGFone posting a few years back when we are discussing the longevity of Simba's exile that when the directors wanted to input "Kenya, 2 years later", it doesn't make any sense since time and location relates more with humans, not animals. Although Timon and Pumbaa are in a theater, the film somewhat respects that concept by not having any caption of any sorts apart from title cards, end credits, and sing-along lyrics.
BTW, I apologize if you find the attachment too small.