Oscar believes Guus Hiddink could stay on as Chelsea boss beyond the end of the season.
Hiddink, who led Chelsea to FA Cup success during a previous stint as interim manager in 2009, returned to the club in December following the dismissal of Jose Mourinho.
The Dutchman, 69, resisted calls to remain at Stamford Bridge long-term during his last spell, but Brazil international Oscar feels he could yet prolong his stay this time around.
"Based on how well Guus has been doing so far, he could very well stay," he said in The Sunday Times. "He's a very nice guy. Very smiley. He always looks to create a happy, positive environment."
Hiddink suffered the first loss of his second spell when Chelsea were beaten 2-1 away to Paris Saint-Germain on Tuesday, after having recorded three wins and six draws in his nine Premier League games so far this season, as well as a 5-1 FA Cup win over MK Dons.
"He has a very positive influence here and we've been playing well," Oscar said. "We've had a lot of draws in that time but overall, in the Premier League, things have been going a lot better and it has given a huge boost of confidence to all the players.
"And also for me on a personal level because I'm playing much better.
"He said all the things we wanted to hear as players which was to get back to winning ways and playing much better football like we were doing so last season, so that was the main thing -- getting back to the level we know that we can perform at."
Hiddink has said that, although he feels fresh, "young people must take over" at the club, but Oscar remains hopeful.
"Since he's a popular figure, there's a good chance he'll stay," he said.
He stressed that he never had an issue with Mourinho, though, despite Chelsea technical director Michael Emenalo saying a "palpable discord" had developed between the Portuguese and his squad.
Explaining Mourinho's reluctance to field him for the full 90 minutes towards the end of his spell, Oscar said: "I played well in the first game of the season, scored a goal, got injured and was out for three or four weeks.
"When I got back, the team was on a tricky run and losing quite a few games. Confidence was low and the team were struggling. It was not just me who was being substituted."
He added: "We were all under pressure, not just the coach. Confidence was low and we were trying to do well but there were many games where, at the crucial moment, the opposition managed to score the crucial goal. Luck was not on our side."
Oscar also stressed that he wants to stay at Chelsea "for many years" and said he had no interest in following Ramires to China.
His agent confirmed earlier this month that Chelsea had rejected a £58 million bid from Chinese Super League club Jiangsu Suning, but Oscar said: "There was interest but I have no desire to leave Europe. Chelsea are a fantastic, very big club and I'm still young. I'm 24 so I've a lot of football here ahead of me."