As far as I understand the practice of carrying the Lectionary during the procession and recessionals is prohibited. What is allowed though is the use of the Book of Gospels in the procession but not the recessional.
Here’s a relevent section from GIRM
- Once the congregation has gathered, the priest and the ministers, clad in their vestments, go to the altar in this order:
a) a server with a lighted censer, if incense is used;
b) the servers, who, according to the occasion, carry lighted candles, and between them the cross-bearer, if the cross is to be carried;
c) acolytes and other ministers;
d) a reader, who may carry the Book of the Gospels;
e) the priest who is to celebrate the Mass.