Enrique, who was in charge of Barcelona B before he took over at Roma last summer, was earlier this week tipped as one of the possible candidates for the head job at the Nou Camp if Pep Guardiola decides to leave in the summer.
The 41-year-old tactician was also rumoured to have a clause in his contract that allows him to leave the Stadio Olimpico for free if Barca come knocking, although Baldini has moved quickly to quash these reports.
“Luis Enrique is going nowhere,” Baldini told Il Corriere dello Sport. “He is staying at Roma until 2013, and he does not have any clauses in his contract.”
Following a shaky start to the season, Enrique has guided Roma to fifth in the Serie A, and will be looking to rise further up the rankings when the Giallorossi take on Atalanta on Sunday.