With Graeme Swann rested and Monty Panesar not considered for limited-overs cricket, off-spinner Tredwell has performed superbly in the one-day series against India this month. But the success enjoyed by Swann and Panesar in the victorious Test tour before Christmas means it is unlikely to be enough to sway the selectors.
"Swanny is a fine performer and Monty did really well in the Test tour. I guess they are the guys in possession in the Test arena," conceded Tredwell, who has taken seven wickets at 17.28 in the first three ODIs.
"Those two guys did fantastically well before Christmas and it's tough to leave them out.
"If I keep knocking on the door, that's all I can do. I'm pretty close, I would hope.
"To play these few one-dayers has given me great confidence, having done so well, and that gives me great belief I can do it at all levels - whether that's Twenty20 or Tests.
"I've been around the set-up a few years now, in and out, and I feel very much part of it. Hopefully I've shown what I can do in the last couple of games."