Hearts duo Paul Hartley and Craig Gordon could be sold before the closure of the transfer window on Wednesday.
Paul Hartley and Craig Gordon did not face Rangers
Rangers have made an undisclosed bid for midfielder Hartley, while a number of English clubs are reportedly interested in goalkeeper Gordon.
Both were left out of the Hearts side that held Rangers to a 0-0 draw at Ibrox on Saturday.
And, asked if the transfer of Gordon could still happen by Wednesday, Invauskas told BBC Sport: "I hope."
Ivanauskas had insisted before kick-off that Gordon had not played because he still had not recovered from a groin injury that prevented him playing against Falkirk the previous weekend.
But the club captain had trained all week.
And, when asked after the game if he had wanted to include the two Scotland internationals in his side, he said: "Yes, I wanted to.
"I can't say too many words, all I can say is that it was football business, especially with Paul Hartley.
"Craig also has a problem with the groin injury he had last weekend, but he is a young boy and the speculation is not good for him."
Julien Brellier, Craig Gordon, Michal Pospisil, Paul Hartley and Robbie Neilson are all attracting interest
Hearts head coach Valdas Ivanauskas
Both Arsenal and Fulham have been linked with the Scotland goalkeeper in recent months.
"It is not just Fulham," said Ivanauskas, asked if the London club's interest had now coolled.
"Many teams want Craigy and we have five days to go before the transfer window closes."
Ivanauskas had admitted on Hearts' website on Friday evening that his players were attracting interest.
"We have been approached during the transfer window by a number of clubs and agents for some of our players," he said.
"Julien Brellier, Craig Gordon, Michal Pospisil, Paul Hartley and Robbie Neilson are all attracting interest.
"We are now in negotiations with some of these clubs, but any offer must be proper in accordance with the true value of the player.
"We expect that there will be further interest in these players from clubs between now and the end of the transfer window given that we are talking about some of the best players in this country."
Rangers manager Walter Smith would not be drawn on his interest in Hartley
He would only say: "We have bids out for a number of players. We will wait and see how those go.
"If we do get a couple of players in, then great. If we can't get who we want, we will wait until the the summer."
It is thought that Rangers would have to increase their offer to more than £1m to secure Hartley.
Full-back Neilson has also been linked with Rangers, while midfielder Brellier has been linked with Southampton in the past.
Pospisil was subject of a £100,000 offer from Bristol City, but the English club were unable to match the striker's personal terms.