Adam had looked to be nearing a switch to Liverpool on a frantic climax to the January window.
Spurs boss Redknapp has had a low-key month but revealed chairman Daniel Levy instigated a last-ditch move for the Scotland midfielder.
Staying put: Charlie Adam will be at Blackpool until at least the end of the season
Redknapp told talkSPORT: 'Daniel rang me late on and asked if I like Charlie Adam. I said 'yes, he's a fantastic footballer'. He said do you want him, I said 'can we get him?'.
'We pushed on and tried to do it, Daniel was confident he could get it through. It went to the wire but we missed out by minutes.'
Redknapp added: 'Daniel dealt with it. Apparently the boy was definitely up for coming.apparently the chairman couldn't get hold of two shareholders who had to sign the forms as well. It's just one of those things.'
It seems the financial details had been agreed for Adam to move to White Hart Lane with only the aforementioned absent shareholders - on Blackpool's side, according to Redknapp - proving the stumbling block.
Redknapp confirmed a move for Everton captain Phil Neville, his only other realistic target, did not come off.
New contract: Sergio Aguero (right) ended speculation over a move to Spurs by extending his Atletico Madrid deal yesterday
Reports also linked Tottenham with a move for a host of strikers, with suggestions the club had turned their attention to Diego Forlan after missing out on his Atletico Madrid team-mate Sergio Aguero.
It was rumoured that Spurs had tabled a ?17million bid for the 31-year-old former Manchester United man, who has also been linked with a move to Real Madrid.
Asked if a new striker would be arriving, Redknapp said: 'Definitely not.
'There's nothing happening at all there. I don't know where the stories were coming from. All these people were suddenly linked with us.'
Spurs were also linked with several other strikers in Spain.
Tottenham are facing a major crisis in defence after Michael Dawson's red card at Fulham which means he will miss the next three games.
Defensive crisis: Harry Redknapp did not add to his squad despite an injury crisis
Younes Kaboul joined long-term injury absentee Ledley King on the sidelines with a knee problem, with surgery on the injury ruling him out for six weeks.
With fellow centre-half William Gallas struggling with a hip problem, Redknapp admits that he may now have to turn to Jonathan Woodgate, who has been out for over a year with a serious groin problem and was originally supposed to go out on loan to aid his recovery.
'Jonathan Woodgate is going to be pushed into action quicker than expected,' Redknapp added.
'We'll have to see how Jonathan is. Hopefully he has had no reaction from his injury and we hope that he could be available pretty quickly for us now.'
Spurs also confirmed Mexico forward Gio dos Santos had joined Primera Division club Racing Santander on loan until the end of the season.
The 21-year-old has made 20 appearances for the north London club, and has also had loan spells with Ipswich and Galatasaray since arriving from Barcelona in June 2008.
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Explore more:People: Phil Neville, Jonathan Woodgate, Michael Dawson, William Gallas, Daniel Levy, Harry Redknapp, Younes Kaboul, Sergio Aguero, Ledley King, Charlie Adam Places: Barcelona, Liverpool, Spain, Scotland, Mexico