The world number two cruised into the third round of the tournament at SW19 after defeating Lu Yen-Hsun 6-3 6-3 7-5 on Wednesday, the same day that Roger Federer was knocked out by Sergiy Stakhovsky and Jo-Wilfried Tsonga was forced to retire against Ernests Gulbis.
"Upsets happen every single day. You can't take any matches for granted. People want to do that often and just write people through to finals or semi-finals or whatever," Murray told Sky Sports News.
"But it doesn't work that way. You need to be ready for every match. That's just the way that sport is. Everybody was so obsessed with how the draw was before the tournament started. Now everybody wants to change their views on it because a few guys have lost.
"There's top players still left in the tournament, and there's a lot of young guys as well coming through, guys like Gulbis, [Jerzy] Janowicz. Those sort of players are starting to break through and play more consistently. I'll just concentrate on my next match. I'm playing a tough player, a very experienced guy. I'll worry about that match."
Murray faces 32nd seed Tommy Robredo in the third round.