Premier League side Hull find themselves out of both cup competitions after back-to-back disappointments, and manager Silva believes they need to swiftly show a positive reaction.
A first-half strike from Sone Aluko at Craven Cottage was matched by Hull’s Evandro just after half-time, but further efforts from Chris Martin, Sessegnon and Stefan Johansen capped a dominant display by the Sky Bet Championship side.
Fulham go through to the fifth round of the FA Cup for the first time since 2011, following a result the visiting manager thought they fully deserved.
“We did not start well, we were out of focus and Fulham deserved it,” said Silva.
“They started stronger, faster. Our concentration was not there at some moments, the first goal is a good example.
“We need a reaction. We will do our work, we lost this game and they deserved to win.
“Not everything is wrong. I will analyse the game with the players so we can prepare.”
The visitors were awarded two penalties with only minutes left of the match but Abel Hernandez missed both, which could cost him the spot-kick responsibility.
Silva said: “We will see. I need to think about it. It is a decision I will take for the next penalty.”
Fulham manager Slavisa Jokanovic felt his side were deserved and comfortable winners.
“We deserved this victory,” Jokanovic added. “We have to be satisfied when we beat a Premier League side.
“Look where we are, we are in the next round and we are fighting (for a play-off place), we are fighting hard which is important.”