The 19-year-old's current deal at Stamford Bridge expires at the end of the season.
Poyet thinks Pochettino must keep hold of the likes of Dele Alli and Harry Kane.
The 18-year-old remains perhaps the most sought-after talent in Europe.
Atletico Madrid and Man City also reportedly interested in Spanish international.
Senegalese forward was named as the club's Player of the Season and Players' Player of the Year on Tuesday.
Begovic was close to joining Bournemouth in the January transfer window.
Ozil, 28, only has a year left on his Arsenal contract.
Manchester United face Celta Vigo in the Europa League semi-final clash on 11 May.
Eredivisie side could part ways with the 20-year-old centre-back for around £21m.
France coach urges Mbappe, 18, to continue his development at Monaco.
Moses has been a revelation for the Blues, who are strolling towards the Premier League title.
Jagielka joined Toffees from Sheffield United in the summer of 2007.
Oxlade-Chamberlain will enter the final 12 months of his contract with Arsenal in the summer.
Gareth Bale and Dani Carvajal also remain on the sidelines.
Henderson has not played for the Reds since 11 February.
Toffees chairman Bill Kenwright confirmed decision at the club's end-of-season awards evening.
Malcom, 20, has scored seven goals in 35 Ligue 1 appearances for Bordeaux this season.
Arsenal are seeking their fourth win in their last five league games when they visit St Mary's.
Salah revealed he rejected a chance to join Liverpool in January 2014.
Neymar says Messi is from another planet, and that he is learning 'every day' from the Argentine.
United hold a 1-0 lead going into the second-leg of their Europa League semi-final against Celta Vigo.
Smith and Walker have registered five assists in the Premier League so far this season.
The France international moved to Old Trafford for a reported £89.3m in August 2016.
Fabregas produced a spellbinding performance against Middlesbrough on Monday.
Los Blancos have reportedly beaten Barcelona to Theo Hernandez and Vinicius de Oliveira Junior.
Juve reach second final in three years after 4-1 aggregate win over Ligue 1 leaders.
Ronald Koeman to attempt to shape his team in his own image.
Ian Wright and John Hartson lead scathing criticism of Gunners boss.
15-year-old midfielder to leave Ibrox this summer despite pleas from manager Pedro Caixinha.
Chile international suffered a lower back injury in the first leg of the Europa League semi-finals.