According to Calcio Mercato, Pochettino is awaiting a call from Manchester United, who has been linked to him for several periods in recent years.
Solachker is likely to be in danger of being sacked as the team prepare for two games against Tottenham Hotspur and Manchester City in less than a week.
United are ninth in the Premier League table with 18 points, eight behind the Champions League quarter-finalists.
Manchester United are undergoing a series of negative results since the start of the season, with Norwegian coach Ole Gunnar Solskjaer under increasing pressure recently.
Mauricio Pochettino has left Tottenham Hotspur's technical leadership following a negative result for Jose Mourinho.