They already appear safe - the gap between City and the bottom three is fourteen points. And having watched his side push Newcastle all the way at St James' Park on Sunday 18 March, Lambert remains confident.
Norwich and Newcastle players joined in a minute's applause in support of Bolton player Fabrice Muamba, in hospital with a heart condition after collapsing in their cup tie at Tottenham.
Pappis Cisse's first half goal left Norwich chasing the game, while Zak Whitbread was among the Norwich players thwarted by Newcastle's Tim Krul as they searched for an equaliser.
Championship safety for Ipswich should be guaranteed with another win. They made it six victories in nine after edging a thrilling contest with regional rivals Peterborough. Aaron Cresswell's deflected shot sealing a three-two win.
In League One Colchester striker Steven Gillespie embarrassed Huddersfield's Alex Smithies, scoring by charging down the goalie's kick. But the visiting keeper took revenge by saving Anthony Wordsworth's penalty later on. The U's had to settle for a 1-1 draw.
And Elliott Benyon's second goal in successive games for Southend helped them secure a 3-2 win at Hereford.
Weekend Results - 17th and 18th March 2012
- Ipswich 3 – 2 Peterborough
- Colchester 1 – 1 Huddersfield
- Chesterfield 1 – 1 MK Dons
- Hartlepool 0 – 0 Stevenage
- Hereford 2 – 3 Southend
- Accrington 2 – 1 Northampton
- Luton 1 – 1 York