diff --git a/jOOQ/src/main/java/org/jooq/impl/AlterTableImpl.java b/jOOQ/src/main/java/org/jooq/impl/AlterTableImpl.java
index 0f90b2d1b3..c05f8d01b3 100644
--- a/jOOQ/src/main/java/org/jooq/impl/AlterTableImpl.java
+++ b/jOOQ/src/main/java/org/jooq/impl/AlterTableImpl.java
@@ -1592,7 +1592,10 @@ final class AlterTableImpl extends AbstractRowCountQuery implements
                 ctx.visit(K_DROP).sql(' ').visit(K_PRIMARY_KEY);
             }
             else {
-                ctx.visit(K_DROP_CONSTRAINT).sql(' ');
+
+                // [#9382] In some dialects, unnamed UNIQUE constraints can be
+                //         dropped by dropping their declarations.
+                ctx.visit(dropConstraint.getUnqualifiedName().empty() ? K_DROP : K_DROP_CONSTRAINT).sql(' ');
 
                 if (ifExistsConstraint)
                     ctx.visit(K_IF_EXISTS).sql(' ');
diff --git a/jOOQ/src/main/java/org/jooq/impl/ConstraintImpl.java b/jOOQ/src/main/java/org/jooq/impl/ConstraintImpl.java
index 7f1491c522..61dda78a90 100644
--- a/jOOQ/src/main/java/org/jooq/impl/ConstraintImpl.java
+++ b/jOOQ/src/main/java/org/jooq/impl/ConstraintImpl.java
@@ -99,7 +99,6 @@ import org.jooq.Name;
 // ...
 import org.jooq.SQLDialect;
 import org.jooq.Table;
-import org.jooq.exception.DataAccessException;
 
 /**
  * @author Lukas Eder
@@ -188,16 +187,15 @@ implements
 
     @Override
     public final void accept(Context<?> ctx) {
-        if (TRUE.equals(ctx.data(DATA_CONSTRAINT_REFERENCE))) {
-            if (getQualifiedName().equals(AbstractName.NO_NAME))
-                throw new DataAccessException("Cannot ALTER or DROP CONSTRAINT without name");
+        boolean named = !getQualifiedName().equals(AbstractName.NO_NAME);
 
+        if (named && TRUE.equals(ctx.data(DATA_CONSTRAINT_REFERENCE))) {
             ctx.visit(getQualifiedName());
         }
         else {
             boolean qualify = ctx.qualify();
 
-            if (!getQualifiedName().equals(AbstractName.NO_NAME)) {
+            if (named) {
                 ctx.visit(K_CONSTRAINT)
                    .sql(' ')
                    .visit(getUnqualifiedName())
@@ -279,7 +277,7 @@ implements
                    .sql(')');
             }
 
-            if (!getQualifiedName().equals(AbstractName.NO_NAME)) {
+            if (named) {
 
 
 
diff --git a/jOOQ/src/main/java/org/jooq/impl/ParserImpl.java b/jOOQ/src/main/java/org/jooq/impl/ParserImpl.java
index 62017452c3..594649fa59 100644
--- a/jOOQ/src/main/java/org/jooq/impl/ParserImpl.java
+++ b/jOOQ/src/main/java/org/jooq/impl/ParserImpl.java
@@ -3898,7 +3898,10 @@ final class ParserImpl implements Parser {
                             : s1.dropConstraint(parseIdentifier(ctx)));
                     }
                     else if (parseKeywordIf(ctx, "UNIQUE")) {
-                        return parseCascadeRestrictIf(ctx, s1.dropUnique(parseIdentifier(ctx)));
+                        return parseCascadeRestrictIf(ctx, s1.dropUnique(
+                              peek(ctx, '(')
+                            ? unique(parseKeyColumnList(ctx))
+                            : constraint(parseIdentifier(ctx))));
                     }
                     else if (parseKeywordIf(ctx, "PRIMARY KEY")) {
                         Name identifier = parseIdentifierIf(ctx);