diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index fd90ca1..f0d6ae3 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -72,16 +72,19 @@ jobs:
         run: pytest tests/test_encoding.py tests/test_utils.py tests/test_config.py -v
 
   database:
-    name: PostgreSQL ${{ matrix.postgres }} (py${{ matrix.python }})
+    name: PostgreSQL ${{ matrix.postgres }} (py${{ matrix.python }}${{ matrix.psycopg && format(', psycopg {0}', matrix.psycopg) || '' }})
     runs-on: ubuntu-latest
     strategy:
       fail-fast: false
       # Rather than the full cross product, pin the corners: the oldest
       # supported pair, the newest pair, and the combination LMFDB actually
       # deploys.  Add a row here when a new PostgreSQL major is released.
+      # The extra oldest-pair row pins psycopg to the declared minimum
+      # (pyproject's pgbinary/pgsource floor), so the floor stays honest.
       matrix:
         include:
           - {python: "3.9", postgres: "13"}
+          - {python: "3.9", postgres: "13", psycopg: "3.2.4"}
           - {python: "3.11", postgres: "15"}
           - {python: "3.12", postgres: "16"}
           - {python: "3.13", postgres: "17"}
@@ -121,6 +124,10 @@ jobs:
       - name: Install
         run: python -m pip install -e ".[pgbinary,test]"
 
+      - name: Pin psycopg to the declared minimum
+        if: matrix.psycopg
+        run: python -m pip install "psycopg[binary]==${{ matrix.psycopg }}"
+
       - name: Show server version
         run: psql -c "SELECT version()"
 
diff --git a/CHANGELOG.md b/CHANGELOG.md
index 482e89f..9b6bff4 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -22,7 +22,9 @@ migration note.
   psycopg2, and it re-exports `SQL`, `Identifier`, `Placeholder`, `Literal`,
   `Composable` and `Composed` from `psycodict` so callers need not import a
   driver directly. *Migration:* install with the `pgbinary` or `pgsource` extra
-  (`pip install "psycodict[pgbinary]"`), and import the SQL composition classes
+  (`pip install "psycodict[pgbinary]"`; psycopg 3.2.4 or newer -- the
+  notification listener relies on psycopg 3.2 APIs and on 3.2.4's
+  notification-delivery fix), and import the SQL composition classes
   from `psycodict` rather than `psycopg2.sql`. (#88)
 - **The old `join_search` method is removed.** *Migration:* pass `join=` to
   `search` (or `count` / `lucky`) instead; see the joins section of
diff --git a/README.md b/README.md
index 9953f58..4ba7581 100644
--- a/README.md
+++ b/README.md
@@ -18,7 +18,7 @@ builds; install psycodict with one of the two extras:
 
 ```
 pip install "psycodict[pgbinary]"    # pulls in psycopg[binary]; no system libpq needed
-pip install "psycodict[pgsource]"    # pulls in psycopg; builds against your system libpq
+pip install "psycodict[pgsource]"    # pulls in pure-Python psycopg, which uses your system libpq
 ```
 
 ## Quickstart
@@ -128,7 +128,7 @@ See the [CHANGELOG](https://github.com/roed314/psycodict/blob/main/CHANGELOG.md)
 
 - Python 3.9 or newer.
 - PostgreSQL 13 through 18.
-- psycopg 3 (installed through the `pgbinary` or `pgsource` extra above).
+- psycopg 3.2.4 or newer (installed through the `pgbinary` or `pgsource` extra above).
 
 ## Setting up PostgreSQL
 
diff --git a/pyproject.toml b/pyproject.toml
index 4f43569..71e3ce5 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -37,8 +37,12 @@ Repository = "https://github.com/roed314/psycodict"
 Changelog = "https://github.com/roed314/psycodict/blob/main/CHANGELOG.md"
 
 [project.optional-dependencies]
-pgsource = ["psycopg>=3.1"]
-pgbinary = ["psycopg[binary]>=3.1"]
+# 3.2 introduced Connection.notifies(timeout=..., stop_after=...), which the
+# notification listener uses, and 3.2.4 fixed notifications being dropped
+# while no generator was consuming them -- essential for the pull-based
+# NotificationListener.poll().
+pgsource = ["psycopg>=3.2.4"]
+pgbinary = ["psycopg[binary]>=3.2.4"]
 test = ["pytest>=7"]
 
 [tool.setuptools.dynamic]