Roberto Di Matteo was in Rome on Saturday for talks with Lazio, according to Sky sources.
Simone Verdi ensured Carpi had to be dragged back into Serie B kicking and screaming as they secured a 2-1 victory at Udinese.
Francesco Totti made his 600th Serie A appearance as Roma moved up to second spot with a 3-0 win over Chievo.
Juventus celebrated winning the Serie A title for the fifth year in a row by beating relegation-threatened Carpi 2-0.
Juventus are closing in on a fifth consecutive Serie A title after emerging victorious from a gritty game with Fiorentina.
Simone Inzaghi has been appointed as Lazio head coach after Stefano Pioli was sacked following Sunday's derby defeat to Roma.