Leading 2-0 from the first leg of the semi-final clash, we went in front on the night through Shayon Harrison's fine finish on 32 minutes.
However, Dominic Solanke and Isaiah Brown scored for Chelsea before the first half was over, with Solanke and Charlie Colkett putting the Blues 4-1 up on the night and 4-3 ahead on aggregate in the moments following the restart.
Colkett then scored from the spot after Anton Walkes was adjudged to have fouled Ola Aina, but a penalty at the other end successfully converted by Harrison - awarded after Fikayo Tomori handled in the area - pulled it back to 5-4 on aggregate.
Try as we might, we were unable to restore parity, with the Blues advancing to the final.
Chelsea: Collins; Aina, Tomori, Clarke-Salter, Dasilva; Sammut (Scott, 78), Colkett (c), Boga (Musonda, 72); Brown (Palmer, 90+3), Abraham, Solanke. Substitutes (not used): Thompson, Grant.
Spurs: Voss; Walker-Peters, Carter-Vickers, Maghoma, Walkes; Amos, Owens (Paul, 68); Stylianides (Goddard, 77), Onomah (c), Azzaoui (Sterling, 77), Harrison. Substitutes (not used): Edwards, Glover (GK).