I'm sure the first priority for Leipzig was never taking Fabio Carvalho from Liverpool on a loan buy they wanted to buy this player because Fabio Carvalho is a young player and he can be a good investment for any team but Liverpool will never lose a player like Fabio Carvalho easily, Leipzig had to take him for the loan.
Leipzig itself must also be grateful because Liverpool are willing to provide Fabio Carvalho even though on loan. Because this can certainly help Leipzig to be better in the Bundesliga next season, because some Bundesliga fans still really want to see fierce competition in the Bundesliga with a fairly tight title race as happened last season and are also very much expected this season. the future could happen again to some teams who can make themselves more competitive next season.
Fabio Carvalho was agree loaned to Leipzig because he want to gets more minutes to play because at Liverpool he was lost to compete with other players to gets one place in the starting lineup and last season Carvalho was played 22 times in all competitions and mostly as substitution player and moved to Leipzig probably is the right decision for him and Carvalho possibly can play at champion league with Leipzig things that Liverpool can't give to him because Liverpool only play in the Europa league
Liverpool and Leipzig hasn't stopped to negotiation because they still discuss for Dominik Szoboszlai transfer and it say Liverpool has agree to pay 70 millions as transfer fee and this transfer will be finished soon because both representative has reach an agreement and i have been thinking probably why Leipzig let Szoboszlai moved to Liverpool because they thinking Carvalho can be suitable as the replacement of Szoboszlai in the team