The Royals had been expected to struggle in Division One this season but they have taken the league by storm and find themselves in tenth place after some impressive recent results.
After letting in just three goals in six matches Adie is confident that the prowling Lions can be kept at bay.
He told getreading.co.uk: "I hope I'm not tempting fate but our defensive record has been really good – and with the strikers we have we know we can score.
"Matty Upson has come in and shown his quality. He needed a couple of games to get his match fitness but now he has that he looks the part.
"We do seem to have an understanding and complement each other – but when I played with John Mackie I felt we were defending well. That competition means you have to play well week in, week out or face being dropped.
"It's almost a psychological thing now. Having done so well, you just don't want to concede a goal to ensure that defensive record remains good."
Williams has been in sintilating form this season, prompting people to suggest he deserves a recall to the Welsh squad.
Meanwhile, the centre-back is urging fans to lay off Millwall boss Mark McGhee.
The Scot will receive a rough reception from the Reading faithful again tomorrow after leaving the Royals for Leicester before making unwise comments about his former club in 1994.
Williams added: "Mark McGhee is a good manager. He had success at Reading and at Millwall. A lot has been said about the manner of his departure but it's a long time ago and hopefully it's forgotten now. I'm just really looking forward to the game."