Barcelona had an €80m bid turned down for Coutinho last month.
Sturridge limped off with a thigh injury after scoring Liverpool's third goal.
Reports from France suggest that the Reds, for now at least, are remaining firm on hardline transfer stance.
"The word 'not' means there is no interpretation," says Reds boss.
Manager Mauricio Pellegrino will hold talks with the Netherlands international this week.
Adam Lallana has backed Reds and England teammate to have a massive impact this season, if he can stay fit.
Lallana admitted Liverpool did not have a 'strong bench' during the 2017/18 season.
Premier League giants have previously had offers of £57m and £66m rejected by the Bundesliga side.
Reports suggest Hammers playmaker could fill the void left by the Brazilian.
The Brazil international remains content with life with the Reds despite reports terms have been agreed.
Milner has a thigh issue and is expected to be fit when the Reds return from Germany.
Coutinho wants to leave Liverpool and has already informed Jurgen Klopp of his decision.
Liverpool have not submitted third bid for RB Leipzig midfielder Naby Keita.
Mamadou Sakho, Lazar Markovic and Sheyi Ojo all left out of squad for Germany trip.
Barcelona are yet to agree a fee with Liverpool after their initial £72m offer was rejected.
Reports from Spain claim Barca officials have travelled to England in order to tie up a deal.
Jurgen Klopp has completed three deals thus far.
The Reds have already seen two bids for the midfielder rejected this summer.
"There will be a club out there who needs him," Reds boss says of outcast winger.
Reds have had 3 bids for Keita rejected by the Bundesliga side.
The Germany international is out of contract next summer.
Coutinho scored the winner for the Reds in a pre-season fixture against Leicester City.