Silva, 39, is under no illusions as to the size of his task, with Hull winning only three league games this season since winning promotion back to the top flight in May.
But the confident former Sporting Lisbon and Olympiakos coach, dubbed the 'new Jose Mourinho' in Portugal and installed as the sacked Mike Phelan's successor on Thursday, stressed he would not have taken on the job if he did not think it was possible.
"If I don't believe it I would not say it
I know many, many people to talk about the Premier League and they say you need a lot of luck, you need a miracle to remain in the Premier League," he said.
"It's normal to say this, but sometimes they happen the miracles
Maybe in May the miracle will happen
Silva is no stranger to pulling off so-called miracles
He steered Estoril to promotion to the Primeira Liga in Portugal in his first managerial job and then to fifth and fourth-placed finishes in his next two seasons.
During his last season in charge at Estoril, the unfashionable minnows became the first side to win a league game at Porto in six years on their way to Europa League qualification.
Silva also won the Portuguese Cup in his first season in charge at Sporting Lisbon before guiding Greek side Olympiacos to a sixth straight league title.
In his only season in Greece, Silva's side embarked on a run of 17 straight league wins and lost only twice, securing the championship with six games to spare.
But he knows the squad he inherited from Phelan needs improving during the transfer window.
"First of all, I have confidence in our players, but it's clear we need to improve our roster," said Silva, who takes charge of his first game on Saturday against Swansea at the KCOM Stadium in the third round of the FA Cup
"The owners know and I know what we need, but I will only speak about these players when they are with the club.
"We'll try to find solutions to try and improve the team
Of course I have targets, but it's not the moment to talk about this, it's the moment to talk about the game tomorrow.
"When these players come, when we find the solutions, if it's possible, of course we'll talk about this."
Source : PA