Woodward's world champions are looking to complete a fourth successive victory over their Calcutta Cup rivals in rugby's oldest international fixture.
But Woodward - coach when England's Grand Slam bid was hijacked by the Scots in Edinburgh four years ago - is taking nothing for granted.
"I don't care how we win the game, it's just about winning," said Woodward.
"We are used to the favourites' tag, but this is another good match-up. If we are allowed to play the way we want to play, then we can win the game, but it will be a tough old game - it always is up here.
"We've been up here and won, and we've been up here and lost. On both occasions, we were red-hot favourites, and you draw on all your experience as a player and as a coach," he added.
"I just know it is very easy coaching a team who are the underdogs playing against arguably the best team in the world. You know what's going on in their changing room - Scotland have got absolutely everything to gain, and nothing to lose."
England opened their RBS 6 Nations campaign with a seven-try half-century against Italy in Rome last weekend, but despite the margin of victory, the coaching analysis of that performance has been both detailed and critical.
"We played well in Rome, but we were a little bit rusty," said Woodward. "We've sat down and watched the video, and we are looking for a big performance tomorrow."
The England players had a glimpse of Murrayfield today, and they found a playing surface wetter than anticipated.
"The pitch is pretty wet, which surprised us a wee bit," added Woodward.
"But the weather forecast for tomorrow is very good. People talk about the weather up here in 2000, but it did rain before 2000. We just had a bad day, and lost to a better team."