diff --git a/api/alembic_version_conflict_detection.txt b/api/alembic_version_conflict_detection.txt
index 79870a1dfb6..281d4bd2091 100644
--- a/api/alembic_version_conflict_detection.txt
+++ b/api/alembic_version_conflict_detection.txt
@@ -1,2 +1,2 @@
 f8588023c126 (pre) (head)
-b18478ab2ea8 (post) (head)
+4c53718279e7 (post) (head)
diff --git a/api/src/pcapi/alembic/versions/20241220T091708_4c53718279e7_drop_headline_offer_unicity_constraints.py b/api/src/pcapi/alembic/versions/20241220T091708_4c53718279e7_drop_headline_offer_unicity_constraints.py
new file mode 100644
index 00000000000..ef984a9f1ab
--- /dev/null
+++ b/api/src/pcapi/alembic/versions/20241220T091708_4c53718279e7_drop_headline_offer_unicity_constraints.py
@@ -0,0 +1,77 @@
+"""
+Drop headline offer unicity constraints on offer and venue
+"""
+
+from alembic import op
+
+
+# pre/post deployment: post
+# revision identifiers, used by Alembic.
+revision = "4c53718279e7"
+down_revision = "b18478ab2ea8"
+branch_labels: tuple[str] | None = None
+depends_on: list[str] | None = None
+
+
+def upgrade() -> None:
+    with op.get_context().autocommit_block():
+        op.drop_index(
+            "ix_headline_offer_offerId",
+            table_name="headline_offer",
+            postgresql_concurrently=True,
+            if_exists=True,
+        )
+        op.create_index(
+            op.f("ix_headline_offer_offerId"),
+            "headline_offer",
+            ["offerId"],
+            unique=False,
+            postgresql_concurrently=True,
+            if_not_exists=True,
+        )
+        op.drop_index(
+            "ix_headline_offer_venueId",
+            table_name="headline_offer",
+            postgresql_concurrently=True,
+            if_exists=True,
+        )
+        op.create_index(
+            op.f("ix_headline_offer_venueId"),
+            "headline_offer",
+            ["venueId"],
+            unique=False,
+            postgresql_concurrently=True,
+            if_not_exists=True,
+        )
+
+
+def downgrade() -> None:
+    with op.get_context().autocommit_block():
+        op.drop_index(
+            op.f("ix_headline_offer_venueId"),
+            table_name="headline_offer",
+            postgresql_concurrently=True,
+            if_exists=True,
+        )
+        op.create_index(
+            "ix_headline_offer_venueId",
+            "headline_offer",
+            ["venueId"],
+            unique=True,
+            postgresql_concurrently=True,
+            if_not_exists=True,
+        )
+        op.drop_index(
+            op.f("ix_headline_offer_offerId"),
+            table_name="headline_offer",
+            postgresql_concurrently=True,
+            if_exists=True,
+        )
+        op.create_index(
+            "ix_headline_offer_offerId",
+            "headline_offer",
+            ["offerId"],
+            unique=True,
+            postgresql_concurrently=True,
+            if_not_exists=True,
+        )
diff --git a/api/src/pcapi/core/offers/models.py b/api/src/pcapi/core/offers/models.py
index 1d1409f7d7a..4afcf50d1e7 100644
--- a/api/src/pcapi/core/offers/models.py
+++ b/api/src/pcapi/core/offers/models.py
@@ -517,10 +517,10 @@ class HeadlineOffer(PcObject, Base, Model):
     __tablename__ = "headline_offer"
 
     offerId: int = sa.Column(
-        sa.BigInteger, sa.ForeignKey("offer.id", ondelete="CASCADE"), nullable=False, index=True, unique=True
+        sa.BigInteger, sa.ForeignKey("offer.id", ondelete="CASCADE"), nullable=False, index=True, unique=False
     )
-    offer: sa_orm.Mapped["Offer"] = sa_orm.relationship("Offer", back_populates="headlineOffer")
-    venueId: int = sa.Column(sa.BigInteger, sa.ForeignKey("venue.id"), nullable=False, index=True, unique=True)
+    offer: sa_orm.Mapped["Offer"] = sa_orm.relationship("Offer", back_populates="headlineOffers")
+    venueId: int = sa.Column(sa.BigInteger, sa.ForeignKey("venue.id"), nullable=False, index=True, unique=False)
     venue: sa_orm.Mapped["Venue"] = sa_orm.relationship("Venue", back_populates="headlineOffers")
 
     dateCreated: datetime.datetime = sa.Column(sa.DateTime, nullable=False, default=datetime.datetime.utcnow)
@@ -614,8 +614,8 @@ def __table_args__(self):
     reactions: list["Reaction"] = sa.orm.relationship(
         "Reaction", back_populates="offer", uselist=True, cascade="all, delete-orphan", passive_deletes=True
     )
-    headlineOffer: sa_orm.Mapped["HeadlineOffer"] = sa_orm.relationship(
-        "HeadlineOffer", back_populates="offer", uselist=False
+    headlineOffers: sa_orm.Mapped[list["HeadlineOffer"]] = sa_orm.relationship(
+        "HeadlineOffer", back_populates="offer", uselist=True, cascade="all, delete-orphan", passive_deletes=True
     )
 
     sa.Index("idx_offer_trgm_name", name, postgresql_using="gin")