James Stephen, from BDO, also confirmed no preferred bidder has been chosen so other potential purchasers can still come forward.
He said: "We are still speaking to three parties about a possible acquisition. There is no preferred bidder as such.
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"If other parties have an interest I would encourage them to come forward and have a look at our business model now which on an annualised basis is quite an attractive, profitable business at an [earnings before interest, tax, depreciation and amortisation] level .
"I think it would be an attraction to someone as a standalone business looking at expansion or as a bolt-on acquisition to what they have already."
The interested groups are all understood to be based in the UK although existing Ortak management, such as managing director Alistair Gray, are not thought to be among those looking to take the company on.
Ortak unveiled its Christmas range last month as part of what Mr Stephen described as a "modest" investment in marketing.
He said: "With a bit more modest [spending] I think there is quite a bit more that could be done with the business. That's more a role for an acquirer rather than me.
"We are pretty much on budget which is good and the new Christmas range seems to be attracting a lot of interest.
"We are now gearing up to the peak period and are quite excited by the new range."
Although three stores have been closed and 29 staff lost their jobs Mr Stephen suggested further redundancies would be unlikely with the company, which was placed in administration in March, now operating on a much firmer financial footing.
He said: "We closed the shops we had to at the start and there was a number of job losses which is regrettable. Since the first round of closures no further stores have been closed and there have been no further redundancies.
"Our plan is very much on keeping the portfolio together and trade through Christmas, which we expect to be pretty successful."
Although high street trading is described as "bitty" online sales have grown "substantially" year-on-year.
Mr Stephen said: "Some weeks are disappointing and some weeks are better than others. It is very hard to predict just how the high street spend is going to go.
"We set some sensible but reasonably challenging budgets which we are pretty much there or thereabouts on, which is good."
The remaining 115 staff at the business were described as "first class" and Mr Stephen added: "I have nothing but respect and admiration for the way the Ortak staff have conducted themselves.
"They are as keen as I am to have a good Christmas [trading period] and present the business in the best possible light to potential acquirers."
Annual accounts at Companies House show Ortak made a loss of £77,336 in the 12 months to January 31, 2012 on turnover of £7.3 million.
That compared with a turnover of £7.27m and profit of £111,452 in the prior year.
BDO were called in as Ortak battled with tough trading conditions and rising raw material prices as well as a poorer than anticipated Christmas trading period in 2012.
The stores which closed were in Buchanan Galleries in Glasgow, Ocean Terminal in Edinburgh and the Thistles shopping centre in Stirling.
Ortak, founded by Mr Gray's father Malcolm in 1967, still has 10 stores across Scotland plus sites in Newcastle and Sheffield.