On Friday Di Canio claimed the club - who announced a takeover this week, subject to Football League approval - sold winger Matt Ritchie to Swindon's promotion rivals Bournemouth without his knowing.
The Italian said he had no choice but to review his position at the League One side, and Swindon's board later responded to his comments claiming there is no cause for concern.
A statement on the club's official website said: "The Board expects to complete the sale of the club next week and are confident that the new owners share the same ambitions as Paolo and his team.
"The decisions made over the course of the last few days have not been made lightly, and in the case of the decision to sell Matt Ritchie, have been done in conjunction with the new owners.
"Whilst the Board understands Paolo's desire to gain promotion and is wholly supportive of this, the Board's considerations and responsibilities extend beyond the on field activities of the team.
"On some occasions it is faced with difficult choices and whilst we recognise the disappointment to all caused by the sale of Matt, the Board has not shirked its duty to face up to the harsh realities of its financial situation.
"We look forward to the swift resolution of these short term issues, Football League approval of the new owners and hopefully a win against Crawley."
Di Canio will take charge of Swindon's game at Crawley this evening - live on Sky Sports - despite admitting he's considering his future at the club.
The former West Ham, Celtic and Sheffield Wednesday forward was appointed manager at The County Ground in May 2011 and subsequently led the team to promotion from League Two and has steered his team into promotion contention again with Swindon currently third in League One.