The irreversible crossing of the EDSS 3 was reached slower for the Induction versus Escalation strategy (median survival 13.5 years versus 9.8 years, p = 0.024). In univariate analysis, the choice of the Escalation strategy (HR 2.42, 95% CI [1.09 – 5.34], p = 0.029), the age at the time of the first relapse (P1) (HR 1.04, 95% CI [ 1.01 – 1.06], p = 0.004), and an incomplete regression of symptoms at P1 (HR 1.69, 95% CI [1.02 – 2.77], p = 0.040) were significantly associated with irreversible crossing of the EDSS 3. The EDSS worsened in the Escalation group (+2 (IQR 0 – 3)) while it remained stable or even decreased in the Induction group (0 (IQR -2 – 0)) (p < 0.001). Regarding the safety profile, there was no difference between the two strategies.