• Juventus will be offered £55m and Monaco £40m plus respectively • Antonio Conte frustrated by lack of progress in the market

Chelsea’s attempts to appease their manager, Antonio Conte, will see them step up efforts to strengthen the first‑team squad this week with an improved bid anticipated for Alex Sandro at Juventus and progress in the protracted pursuit of Monaco’s Tiemoué Bakayoko.

Conte, who is on holiday back in Italy, had anticipated the Premier League winners making early moves in the transfer market as they prepare to return to the Champions League after a season-long absence. The lack of progress is understood to have deeply frustrated the 47-year-old, who has yet to commit to the contract extension that has been on the table since the end of the season and would establish him as the highest paid manager in the club’s history.

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The relationship between manager and board has also been severely tested by Conte’s decision to inform Diego Costa, by text, that he is not in the club’s plans. The Spain forward subsequently made that information public and in the process, alerted other clubs to the fact Chelsea are eager to sell him, undermining their bargaining position. Costa’s situation has complicated plans to strengthen, with no deal in place as yet to re-sign Romelu Lukaku from Everton – who want a world-record fee for the Belgium striker – as a replacement.

Yet Chelsea, who have made it clear to Conte that their established strategy in the market will not shift, are confident any tension can be allayed well before players and staff return to Cobham for pre-season training in the first week of July, with significant signings expected to be secured by then. The Juventus general manager, Beppe Marotta, indicated over the weekend that an initial offer for Sandro had been rejected. “But I don’t know what he [Sandro] thinks about the interest,” Marotta said. “Players are masters of their own destinies.”

An improved bid worth up to £55m, which would constitute a Chelsea club record, is anticipated in the days ahead, with that likely to prove more appealing even for a key member of the Juve side who won a sixth successive Serie A title but lost the Champions League final this month.

Sandro, who has seven caps for Brazil, was formerly at Porto, with Conte having earmarked him early as a potential upgrade on Marcos Alonso at left wing-back. The Italian is seeking to add greater depth in quality in virtually all areas of the team, and has already made it clear he is prepared to make ruthless decisions even in the wake of his squad’s eye-catching efforts last term.

Chelsea’s long-standing interest in Bakayoko is also likely to come to fruition, with the France international set to join for a fee in excess of £40m after a fine season at the heart of Monaco’s Ligue 1 title-winning midfield. His arrival would not necessarily see Nemanja Matic depart the club.

Willy Caballero, who will leave Manchester City under freedom of contract at the end of the month, is to join on a free transfer to serve as the back-up goalkeeper to Thibaut Courtois following Asmir Begovic’s sale to Bournemouth.

The Chelsea director, Marina Granovskaia, has been in regular contact with Conte’s agent, Federico Pastorello, over the summer and the club hope the manager will sign his contract extension, worth £9.6m a year through to 2021, upon his return to London.