The former Gers goalkeeper believes four more signings will see the club at the same standard as Celtic next season.
Former Rangers goalkeeper Andy Goram has told the Scottish Sun that he believes the gap between his old club and Celtic is not as big as some people think and claims the Gers only need four more signings to reach the same level as the Bhoys.
Mark Warburton's side beat Celtic on penalties in the Scottish Cup semi-final at Hampden Park last Sunday a 2-2 draw with their arch-rivals over 120 minutes in which they led twice.
There has been some debate in the days since that clash about how much the victory reflects the comparative standard of the two sides, with many suggesting it is not a true reflection of where Rangers are at.
However, Goram, who spent seven years at the club, believes that the gap between the two Glasgow clubs is already small, and suggests that four more signings, in addition to the confirmed arrivals of Accrington pair Josh Windass and Matt Crooks this summer, would see them back on a par with their rivals.
The 52-year-old told the Scottish Sun: "I wasn't as surprised as some people seem to have been [about Sunday's win]. When the draw was made I fancied us. Celtic have not been playing well. There's a gap, of course there is, but there's not that big a gap — and Sunday showed that.
"I hope the board and Dave King don't sit back now. I hope they don't think that's it, that Rangers don't need more players. We have a chance to really kick on now and challenge for the title next season. I expect us to do that. We have the two lads coming in from Accrington and I expect that manager to sign at least four more.
"That would give us six new signings and with that I don't think we'll be too far away. We need to strengthen to give Celtic a challenge. We could also be in Europe next season. It comes in cycles and hopefully it's our turn now. The Cup Final is massive. If we win that and qualify for Europe, better players will want to come."
Rangers are on course for a domestic treble of trophies if they can see off fellow second-tier side Hibernian in the cup final at Hampden on 21 May.