The Lambs have a wonderful draw with Premier League giants Tottenham Hotspur paying a visit.
Millwall await Ben Strevens' Daggers with a trip to the New Den ahead in the New Year.
Dagenham got there after winning 2-1 at AFC Wimbledon on Saturday.
On Sunday it was Tamworth's turn to grab the weekend headlines and after defeating Huddersfield, they took down Burton Albion on penalties, pictured.
The tie will be played in the second week of January with TV selection expected soon.
Winners of the third round ties earn £115,000, with £25,000 given to the defeated side.