The Reds have had two bids, the latest of £6.5million made on Friday, rejected and Holloway claims their director of football strategy Damien Comolli has been trying to get back in touch to continue negotiations.
However, the Seasiders' boss earlier claimed Oyston was refusing to return calls or answer messages, saying: "I spoke to Kenny Dalglish the other day and he made an improved offer. I talked to the chairman about it and he turned it down. Damien Comolli has now tried to contact Karl but he hasn't returned his calls."
He added: "He hasn't got to has he? It's pretty rude isn't it but if we run out of time....
"He (Oyston) is trying to get people in before he deals with someone else.
"But I can't run that because it is none of my business. It's all been out of my hands.
"He's under contract, Liverpool want to sign him but they keep saying they don't want to sell Fernando Torres so they obviously know how we feel.
"I strongly suggest to them, I don't think my chairman will sell him and I don't think we've got enough time to replace Charlie.
"He's my player and that is the situation at the moment."
Blackpool chairman Karl Oyston later told talkSPORT Liverpool's deadline-day bid for Charlie Adam was "nowhere near acceptable".
Liverpool were desperate to land the Seasiders skipper this month and made another attempt to get the 25-year-old on a frantic last day of the window.
But Oyston has revealed his star man is staying at Bloomfield Road as the Reds fell way short of the club's valuation.
"The offer that they made wasn't anywhere near acceptable to us," he told Kick Off just before the close of the window.
"What we've got to consider isn't so much valuation, obviously that's a consideration, but its what's at stake for us and the fact that we really don't want to lose momentum or part of our spirit or affect things badly.
"Looking back on other Premier League newcomers if they lose the manager or lose some key players that's when things really tend to start to fall apart.
"The offer was nowhere near what we could even begin to consider and more importantly we'd gone past the stage - and I did flag this up to them a fair while ago - that if they were seriously interested then they'd better put their best offer on the table."
Blackpool look set to add Southampton winger Jason Puncheon to their roster until the end of the season.
The 24-year-old's loan move has been agreed by the two clubs but Blackpool say it is still subject to Premier League and Football League clearance.
Puncheon has already spent time on loan at Millwall this season, where he scored five goals in seven appearances.
The player was also part of the Southampton team that beat Blackpool in the FA Cup in January.
Puncheon joined Saints in January 2010 on a three-and-a-half-year deal for an undisclosed fee from Plymouth.
The player started his career as a trainee at MK Dons and played for Barnet before joining Plymouth for £250,000 in June 2008.
He spent time on loan at MK Dons in 2009 and had brief spells in non-League football with Fisher Athletic and Lewes early in his career