Pompey's perilous financial position has forced the club, which has debts of £60m, to consider offloading its best players.
The south coast side also face a winding-up order in the high court on 10 February for unpaid taxes.
Kaboul now looks set to join his former club Spurs for possibly as much as £11m, with keeper Begovic likely to follow.
Storrie told ESPN: "I am no longer involved in the finances, I am not involved in the transfer negotiations, and Avram doesn't know what players are being sold.
"The two best players on the pitch in our last game against West Ham, Kaboul and Begovic, have been sold to Spurs, and - who knows? - it might not stop there.
"So you can understand why Avram is frustrated and angry, but at least it will keep the club alive for two or three months, maybe until the end of the season."
BBC South understands that the deal to sell Begovic has also been done without the support of executive director Mark Jacob, the lawyer of owner Ali Al Faraj.
England goalkeeper David James has also been strongly linked with a move to Premier League rivals Stoke.
BBC Radio 5 live senior football reporter Ian Dennis said that Grant was also becoming increasingly agitated with the ongoing situation at Fratton Park.
"Grant is far from happy at this latest development and his patience is wearing thin," Dennis said.
"He cancelled last week's press conference because he knew the questions would be about off-the-field matters.
Kaboul could be on his way back to White Hart Lane
"These are difficult days and it is also expected the players will not be paid on time for a fourth occasion this season."
Under Harry Redknapp's reign, Portsmouth signed Kaboul, 24, for an undisclosed fee from Spurs in August 2008.
Then Tottenham boss Martin Jol had brought the Frenchman a year earlier for about £8m from Auxerre, but he made only 19 Premier League starts for the Londoners.
The club, bottom of the Premier League, have failed to pay their players on time on three occasions this season, and its official website was temporarily closed down because of payment problems on Thursday.
Grant returned to Fratton Park in October last year when he was named as the club's director of football, a position he previously held in 2006-07.
The Israeli soon took over the managerial reins in November when Paul Hart was sacked following Portsmouth's terrible start to the Premier League season.
Former defender Sol Campbell is suing the club for £1.7m for unpaid image rights while staff at the club have also been warned that their January wages might be late.
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