diff --git a/pgconn/pgconn_stress_test.go b/pgconn/pgconn_stress_test.go
new file mode 100644
index 00000000..cc6acab8
--- /dev/null
+++ b/pgconn/pgconn_stress_test.go
@@ -0,0 +1,199 @@
+package pgconn_test
+
+import (
+	"context"
+	"math/rand"
+	"os"
+	"strconv"
+	"testing"
+	"time"
+
+	"github.com/jackc/pgx/pgconn"
+	"github.com/pkg/errors"
+
+	"github.com/stretchr/testify/require"
+)
+
+func TestConnStress(t *testing.T) {
+	t.Parallel()
+
+	pgConn, err := pgconn.Connect(context.Background(), os.Getenv("PGX_TEST_DATABASE"))
+	require.Nil(t, err)
+	defer closeConn(t, pgConn)
+
+	actionCount := 100
+	if s := os.Getenv("PTX_TEST_STRESS_FACTOR"); s != "" {
+		stressFactor, err := strconv.ParseInt(s, 10, 64)
+		require.Nil(t, err, "Failed to parse PTX_TEST_STRESS_FACTOR")
+		actionCount *= int(stressFactor)
+	}
+
+	setupStressDB(t, pgConn)
+
+	actions := []struct {
+		name string
+		fn   func(*pgconn.PgConn) error
+	}{
+		{"Exec Select", stressExecSelect},
+		{"ExecParams Select", stressExecParamsSelect},
+		{"Batch", stressBatch},
+		{"ExecCanceled", stressExecSelectCanceled},
+		{"ExecParamsCanceled", stressExecParamsSelectCanceled},
+		{"BatchCanceled", stressBatchCanceled},
+	}
+
+	for i := 0; i < actionCount; i++ {
+		action := actions[rand.Intn(len(actions))]
+		err := action.fn(pgConn)
+		require.Nilf(t, err, "%d: %s", i, action.name)
+	}
+}
+
+func setupStressDB(t *testing.T, pgConn *pgconn.PgConn) {
+	_, err := pgConn.Exec(context.Background(), `
+		create temporary table widgets(
+			id serial primary key,
+			name varchar not null,
+			description text,
+			creation_time timestamptz default now()
+		);
+
+		insert into widgets(name, description) values
+			('Foo', 'bar'),
+			('baz', 'Something really long Something really long Something really long Something really long Something really long'),
+			('a', 'b')`)
+	require.Nil(t, err)
+}
+
+func stressExecSelect(pgConn *pgconn.PgConn) error {
+	_, err := pgConn.Exec(context.Background(), "select * from widgets")
+	return err
+}
+
+func stressExecParamsSelect(pgConn *pgconn.PgConn) error {
+	_, err := pgConn.ExecParams(context.Background(), "select * from widgets where id < $1", [][]byte{[]byte("10")}, nil, nil, nil)
+	return err
+}
+
+func stressBatch(pgConn *pgconn.PgConn) error {
+	pgConn.SendExec("select * from widgets")
+	pgConn.SendExecParams("select * from widgets where id < $1", [][]byte{[]byte("10")}, nil, nil, nil)
+	err := pgConn.Flush(context.Background())
+	if err != nil {
+		return err
+	}
+
+	// Query 1
+	resultReader := pgConn.GetResult(context.Background())
+	if resultReader == nil {
+		return errors.New("missing resultReader")
+	}
+
+	for resultReader.NextRow() {
+	}
+	_, err = resultReader.Close()
+	if err != nil {
+		return err
+	}
+
+	// Query 2
+	resultReader = pgConn.GetResult(context.Background())
+	if resultReader == nil {
+		return errors.New("missing resultReader")
+	}
+
+	for resultReader.NextRow() {
+	}
+	_, err = resultReader.Close()
+	if err != nil {
+		return err
+	}
+
+	// No more
+	resultReader = pgConn.GetResult(context.Background())
+	if resultReader != nil {
+		return errors.New("unexpected result reader")
+	}
+
+	return nil
+}
+
+func stressExecSelectCanceled(pgConn *pgconn.PgConn) error {
+	ctx, cancel := context.WithTimeout(context.Background(), 5*time.Millisecond)
+	_, err := pgConn.Exec(ctx, "select *, pg_sleep(1) from widgets")
+	cancel()
+	if err != context.DeadlineExceeded {
+		return err
+	}
+
+	ctx, cancel = context.WithTimeout(context.Background(), 500*time.Millisecond)
+	recovered := pgConn.RecoverFromTimeout(ctx)
+	cancel()
+	if !recovered {
+		return errors.New("unable to recover from timeout")
+	}
+	return nil
+}
+
+func stressExecParamsSelectCanceled(pgConn *pgconn.PgConn) error {
+	ctx, cancel := context.WithTimeout(context.Background(), 5*time.Millisecond)
+	_, err := pgConn.ExecParams(ctx, "select *, pg_sleep(1) from widgets where id < $1", [][]byte{[]byte("10")}, nil, nil, nil)
+	cancel()
+	if err != context.DeadlineExceeded {
+		return err
+	}
+
+	ctx, cancel = context.WithTimeout(context.Background(), 500*time.Millisecond)
+	recovered := pgConn.RecoverFromTimeout(ctx)
+	cancel()
+	if !recovered {
+		return errors.New("unable to recover from timeout")
+	}
+	return nil
+}
+
+func stressBatchCanceled(pgConn *pgconn.PgConn) error {
+
+	pgConn.SendExec("select * from widgets")
+	pgConn.SendExecParams("select *, pg_sleep(1) from widgets where id < $1", [][]byte{[]byte("10")}, nil, nil, nil)
+	err := pgConn.Flush(context.Background())
+	if err != nil {
+		return err
+	}
+
+	// Query 1
+	resultReader := pgConn.GetResult(context.Background())
+	if resultReader == nil {
+		return errors.New("missing resultReader")
+	}
+
+	for resultReader.NextRow() {
+	}
+	_, err = resultReader.Close()
+	if err != nil {
+		return err
+	}
+
+	// Query 2
+	ctx, cancel := context.WithTimeout(context.Background(), 5*time.Millisecond)
+	resultReader = pgConn.GetResult(ctx)
+	cancel()
+	if resultReader == nil {
+		return errors.New("missing resultReader")
+	}
+
+	for resultReader.NextRow() {
+	}
+	_, err = resultReader.Close()
+	if err != context.DeadlineExceeded {
+		return err
+	}
+
+	ctx, cancel = context.WithTimeout(context.Background(), 500*time.Millisecond)
+	recovered := pgConn.RecoverFromTimeout(ctx)
+	cancel()
+	if !recovered {
+		return errors.New("unable to recover from timeout")
+	}
+	return nil
+}