Yes, your design looks good, assuming 10 kΩ is a good pullup value for it. When the digital signal is high, the only thing driving the output high will be that pullup resistor.
No, I would not use 1 kΩ for R3. Actually, 1 kΩ should still work, but 2.2 kΩ is already on the low side. There is little harm in making the threshold voltage higher. For best noise immunity, you want the threshold where the circuit is in the middle between a high and low to be near the middle of the digital signal's range, in other words about 2.5 V. Figure the B-E drop of T1 is 700 mV, so you want to aim the R2-R3 voltage divider to make about 3.2 V. Assuming you leave R2 alone, that would make R3 3.6 kΩ. Do you have one of those lying around?
On a separate note, get a resistor assortment already. 20 each of all the 5% values from 1 Ω to 1 MΩ doesn't cost that much.